## 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?

1. FibonacciChick666

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

2. oly.surf

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

ok lets only use 1 variable can you alter your equations to show me that?

4. FibonacciChick666

the equations are good though

5. oly.surf

i dont know what u mean by altering the equations to 1 variable sorry

6. FibonacciChick666

(I just appreciate you trying) so instead of having a, b, c maybe only have b in one big eq

7. oly.surf

oh okay! 1/4b + 1/4([1/4b]+b) + b = 17 like that?

8. FibonacciChick666

exactly can you solve for b now?

9. oly.surf

i cant seem to figure it out :/

10. FibonacciChick666

ok let's do it together

11. FibonacciChick666

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

do u mean 1/4b + 1/4([1/4b]+b)? sorry im a big confused

13. FibonacciChick666

ok give me a min and ill explain better

14. oly.surf

okay thankyou so much

15. FibonacciChick666

16. FibonacciChick666

did that help?

17. oly.surf

thankyou yes it did, but when i figured out 25/16b=17, i got b=10.88 is that right?

18. oly.surf

sorry i just saw the end of the video, what do u mean by plug it in for a and c?

19. FibonacciChick666

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

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

ok h/o I'll redo the problem because you're right it doesn't make sense

22. oly.surf

okay thankyou so much appreciate it

23. FibonacciChick666

ok I redid it and got the same answer are you sure you copied the problem correctly?

24. oly.surf

what 3 digit number did u get?

25. FibonacciChick666

You can't get one, thats the problem lol

26. oly.surf

yeah haha thought so! one sec il check if i wrote it correctly

27. FibonacciChick666

if you only took the first digit it would be 213..

28. oly.surf

but it dosent equal 17 thats the problem

29. oly.surf

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

ok well... I think they messed up lol let me try another approach

31. oly.surf

dont worry if u cant find it thanks for the help anyway

32. FibonacciChick666

sorry I couldn't get it... I mean that is the answer. I guarantee it but that is so odd

33. oly.surf

no worries thanks anyway

34. FibonacciChick666

@Hoa , can you double check this for me please?

35. FibonacciChick666

@nincompoop can you double check this for me?

36. nincompoop

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

z=1/4(x+y)

38. nincompoop

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

1/4 of 28 is 7 our first two digits in 287 is 28

40. FibonacciChick666

OMG! formed as in put together... I'm such a nitwit usually I read formed as add

41. nincompoop

I thought I was going to embarrass myself in front of you…. I was sweating bullets (lol's)

42. FibonacciChick666

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