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kaiteDID

  • 2 years ago

Use the three steps to solve the problem. Two years ago a father was four times as old as his son. Three years from now the father will be only three times as old as the son. How old is each now? {son is yrs., father is yrs.}

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  1. ajprincess
    • 2 years ago
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    Let the present age of son be x and the age of father be y. Can u tell me what was the age of the father two yrs ago?

  2. kaiteDID
    • 2 years ago
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    no i dont know i am srry

  3. ajprincess
    • 2 years ago
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    Subtract 2 from the present age y.

  4. kaiteDID
    • 2 years ago
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    so it would be 2-y*4 right?

  5. ajprincess
    • 2 years ago
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    hmm no. The age of father two yrs ago is y-2. And the son,s is x-2. Since it is given that the father's age was 4 times the age of son y-2=4(x-2). Getting it?

  6. kaiteDID
    • 2 years ago
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    kinda

  7. ajprincess
    • 2 years ago
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    Is it confusing? If so plz ask.

  8. kaiteDID
    • 2 years ago
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    yes it's confusing

  9. ajprincess
    • 2 years ago
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    How old are u nw?

  10. ajprincess
    • 2 years ago
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    what was ur age before two yrs?

  11. ajprincess
    • 2 years ago
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    U subtracted to frm ur present age to find the age bfore 2 yrs. right?I assumed father's present age to be y. then his age before two yrs wud have been y-2. Is is it clear?

  12. kaiteDID
    • 2 years ago
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    yes

  13. ajprincess
    • 2 years ago
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    The age of the son bfore two yrs wud hav been x-2. Getting it?

  14. kaiteDID
    • 2 years ago
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    mmhhh

  15. ajprincess
    • 2 years ago
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    sorry? isn't t clear?

  16. kaiteDID
    • 2 years ago
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    it is

  17. ajprincess
    • 2 years ago
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    Since it is given that the age of the father was 4 times the son's age y-2=4(x-2)

  18. ajprincess
    • 2 years ago
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    Getting it?

  19. kaiteDID
    • 2 years ago
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    yes

  20. ajprincess
    • 2 years ago
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    What will be the age of the father after three years?

  21. kaiteDID
    • 2 years ago
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    y+3

  22. ajprincess
    • 2 years ago
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    yup right:)

  23. ajprincess
    • 2 years ago
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    What will be the age of the son?

  24. kaiteDID
    • 2 years ago
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    x+3

  25. ajprincess
    • 2 years ago
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    Since it is given that the father's age will be three times of the age of the son y+3=3(x+3) getting it?

  26. kaiteDID
    • 2 years ago
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    okay

  27. ajprincess
    • 2 years ago
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    So u hav two eqns y-2=4(x-2) y+3=3(x+3) Can u find x and y?

  28. kaiteDID
    • 2 years ago
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    y-2=4x-8 y+3=3x=9

  29. ajprincess
    • 2 years ago
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    y-2=4x-8 y+3=3x+9 ya right:). Nw solve these equations to find x and y. can u do it?

  30. kaiteDID
    • 2 years ago
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    idk

  31. ajprincess
    • 2 years ago
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    y-2=4x-8 what do u get when u add 2 to both sides?

  32. kaiteDID
    • 2 years ago
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    10

  33. ajprincess
    • 2 years ago
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    y-2+2=4x-8+2 y=4x-6

  34. ajprincess
    • 2 years ago
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    y+3=3x+9 What do u get when u subtract 3 from both of the sides?

  35. kaiteDID
    • 2 years ago
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    12

  36. ajprincess
    • 2 years ago
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    hmm no. y+3-3=3x+9-3 y=3x+6 Getting it?

  37. kaiteDID
    • 2 years ago
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    yes

  38. ajprincess
    • 2 years ago
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    So u have two eqns y=4x-6 y=3x+6. Since both 4x-6 and 3x+6 are equal to y you can equate them. 4x-6=3x+6 Can u find x nw?

  39. kaiteDID
    • 2 years ago
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    10

  40. ajprincess
    • 2 years ago
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    hmm no. 1.Add 6 both sides 2.Subtract 3x both sides. What do u get nw?

  41. kaiteDID
    • 2 years ago
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    1x

  42. ajprincess
    • 2 years ago
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    That is vat u get in left hand side. What do u get in ur right hand side?

  43. kaiteDID
    • 2 years ago
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    0

  44. kaiteDID
    • 2 years ago
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    @robtobey can u help me?

  45. robtobey
    • 2 years ago
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    Solve the following for f and s, the father's and son's current age respectively.\[\left\{\frac{f-2}{s-2}=4,\frac{f+3}{s+3}\text{=}3\right\}\]Can you solve the above for f and s?

  46. kaiteDID
    • 2 years ago
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    idk i dont know how to do it

  47. robtobey
    • 2 years ago
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    Is the following easier?\[\{f-2=4(s-2),f+3=3(s+3)\}\]

  48. kaiteDID
    • 2 years ago
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    i dont know this is all confusing to me

  49. robtobey
    • 2 years ago
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    focus on the equation on the left. f - 2 = 4 (s - 2) Multiply out the RHS f - 2 = 4 s - 8 Move -2 to the RHS. f = 4 s - 8 + 2 Add -8 and +2 f = 4 s -6 Replace f in the second equation with 4 s -6 f + 3 = 3 (s + 3) (4 s -6) + 3 = 3 (s + 3) Can you solve the above for s and get a number?

  50. kaiteDID
    • 2 years ago
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    son is 7

  51. robtobey
    • 2 years ago
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    I have to log off now. The answer is\[\{f=42,s=12\} \] You should verify the answer yourself.

  52. kaiteDID
    • 2 years ago
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    okay

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