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oly.surf

  • 2 years ago

The first digit of a three digit number is one quarter of the second sight. The third digit is one quarter the value of the number formed by the first two digits. The sum of the three digits is 17. What is the number?

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  1. FibonacciChick666
    • 2 years ago
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    so hint: can you write 4 equations to represent this paragraph?

  2. oly.surf
    • 2 years ago
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    umm i got some but i dont know if they are correct, lets say the number = abc a=1/4b b=? c=1/4(a+b) a+b+c = 17

  3. FibonacciChick666
    • 2 years ago
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    ok lets only use 1 variable can you alter your equations to show me that?

  4. FibonacciChick666
    • 2 years ago
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    the equations are good though

  5. oly.surf
    • 2 years ago
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    i dont know what u mean by altering the equations to 1 variable sorry

  6. FibonacciChick666
    • 2 years ago
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    (I just appreciate you trying) so instead of having a, b, c maybe only have b in one big eq

  7. oly.surf
    • 2 years ago
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    oh okay! 1/4b + 1/4([1/4b]+b) + b = 17 like that?

  8. FibonacciChick666
    • 2 years ago
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    exactly can you solve for b now?

  9. oly.surf
    • 2 years ago
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    i cant seem to figure it out :/

  10. FibonacciChick666
    • 2 years ago
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    ok let's do it together

  11. FibonacciChick666
    • 2 years ago
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    so I am going to start by distributing the 1/4 in the second term. can you write this step for me?

  12. oly.surf
    • 2 years ago
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    do u mean 1/4b + 1/4([1/4b]+b)? sorry im a big confused

  13. FibonacciChick666
    • 2 years ago
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    ok give me a min and ill explain better

  14. oly.surf
    • 2 years ago
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    okay thankyou so much

  15. FibonacciChick666
    • 2 years ago
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    http://www.educreations.com/lesson/view/for-oly-surf/7121943/?ref=link this should explain it

  16. FibonacciChick666
    • 2 years ago
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    did that help?

  17. oly.surf
    • 2 years ago
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    thankyou yes it did, but when i figured out 25/16b=17, i got b=10.88 is that right?

  18. oly.surf
    • 2 years ago
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    sorry i just saw the end of the video, what do u mean by plug it in for a and c?

  19. FibonacciChick666
    • 2 years ago
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    probably I didnt calculate it and by plug it in a mean just (1/4)b=a(first digit) so thats (1/4)(10.88)= bla bla bla

  20. oly.surf
    • 2 years ago
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    i dont think its right, like my calculations, sorry i just cant get the 3 digit number dont worry if im being complicated i can ask my teacher

  21. FibonacciChick666
    • 2 years ago
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    ok h/o I'll redo the problem because you're right it doesn't make sense

  22. oly.surf
    • 2 years ago
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    okay thankyou so much appreciate it

  23. FibonacciChick666
    • 2 years ago
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    ok I redid it and got the same answer are you sure you copied the problem correctly?

  24. oly.surf
    • 2 years ago
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    what 3 digit number did u get?

  25. FibonacciChick666
    • 2 years ago
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    You can't get one, thats the problem lol

  26. oly.surf
    • 2 years ago
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    yeah haha thought so! one sec il check if i wrote it correctly

  27. FibonacciChick666
    • 2 years ago
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    if you only took the first digit it would be 213..

  28. oly.surf
    • 2 years ago
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    but it dosent equal 17 thats the problem

  29. oly.surf
    • 2 years ago
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    The first digit of a three digit number is one quarter of the second digit. The third digit is one quarter the value of the number formed by the first two digits. The sum of the three digits is 17. What is the number? This was definitely the question

  30. FibonacciChick666
    • 2 years ago
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    ok well... I think they messed up lol let me try another approach

  31. oly.surf
    • 2 years ago
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    dont worry if u cant find it thanks for the help anyway

  32. FibonacciChick666
    • 2 years ago
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    sorry I couldn't get it... I mean that is the answer. I guarantee it but that is so odd

  33. oly.surf
    • 2 years ago
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    no worries thanks anyway

  34. FibonacciChick666
    • 2 years ago
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    @Hoa , can you double check this for me please?

  35. FibonacciChick666
    • 2 years ago
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    @nincompoop can you double check this for me?

  36. nincompoop
    • 2 years ago
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    xyz x/4=y z=x+y x+y+z = 17 sorry but I didn't use any mathematical methodologies to answer this… I came up with 287

  37. FibonacciChick666
    • 2 years ago
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    z=1/4(x+y)

  38. nincompoop
    • 2 years ago
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    not x+y it is 1/4 of xy The third digit is one quarter the value of the number formed by the first two digits. we are not using algebraic operations

  39. nincompoop
    • 2 years ago
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    1/4 of 28 is 7 our first two digits in 287 is 28

  40. FibonacciChick666
    • 2 years ago
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    OMG! formed as in put together... I'm such a nitwit usually I read formed as add

  41. nincompoop
    • 2 years ago
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    I thought I was going to embarrass myself in front of you…. I was sweating bullets (lol's)

  42. FibonacciChick666
    • 2 years ago
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    lol ha it's cool but i would have never thought of just making a number by putting them together. That works... although it's more of a riddle than a math problem in that case

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