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oly.surf

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?

  • one year ago
  • one year ago

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

    • one year ago
  2. oly.surf
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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

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

    • one year ago
  4. FibonacciChick666
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    the equations are good though

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

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

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

    • one year ago
  8. FibonacciChick666
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    exactly can you solve for b now?

    • one year ago
  9. oly.surf
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    i cant seem to figure it out :/

    • one year ago
  10. FibonacciChick666
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    ok let's do it together

    • one year ago
  11. FibonacciChick666
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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?

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

    • one year ago
  13. FibonacciChick666
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    ok give me a min and ill explain better

    • one year ago
  14. oly.surf
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    okay thankyou so much

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

    • one year ago
  16. FibonacciChick666
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    did that help?

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

    • one year ago
  18. oly.surf
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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?

    • one year ago
  19. FibonacciChick666
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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

    • one year ago
  20. oly.surf
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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

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

    • one year ago
  22. oly.surf
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    okay thankyou so much appreciate it

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

    • one year ago
  24. oly.surf
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    what 3 digit number did u get?

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

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

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

    • one year ago
  28. oly.surf
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    but it dosent equal 17 thats the problem

    • one year ago
  29. oly.surf
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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

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

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

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

    • one year ago
  33. oly.surf
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    no worries thanks anyway

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

    • one year ago
  35. FibonacciChick666
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    @nincompoop can you double check this for me?

    • one year ago
  36. nincompoop
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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

    • one year ago
  37. FibonacciChick666
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    z=1/4(x+y)

    • one year ago
  38. nincompoop
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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

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

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

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

    • one year ago
  42. FibonacciChick666
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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

    • one year ago
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