anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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FibonacciChick666
  • FibonacciChick666
so hint: can you write 4 equations to represent this paragraph?
anonymous
  • anonymous
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
FibonacciChick666
  • FibonacciChick666
ok lets only use 1 variable can you alter your equations to show me that?

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FibonacciChick666
  • FibonacciChick666
the equations are good though
anonymous
  • anonymous
i dont know what u mean by altering the equations to 1 variable sorry
FibonacciChick666
  • FibonacciChick666
(I just appreciate you trying) so instead of having a, b, c maybe only have b in one big eq
anonymous
  • anonymous
oh okay! 1/4b + 1/4([1/4b]+b) + b = 17 like that?
FibonacciChick666
  • FibonacciChick666
exactly can you solve for b now?
anonymous
  • anonymous
i cant seem to figure it out :/
FibonacciChick666
  • FibonacciChick666
ok let's do it together
FibonacciChick666
  • FibonacciChick666
so I am going to start by distributing the 1/4 in the second term. can you write this step for me?
anonymous
  • anonymous
do u mean 1/4b + 1/4([1/4b]+b)? sorry im a big confused
FibonacciChick666
  • FibonacciChick666
ok give me a min and ill explain better
anonymous
  • anonymous
okay thankyou so much
FibonacciChick666
  • FibonacciChick666
http://www.educreations.com/lesson/view/for-oly-surf/7121943/?ref=link this should explain it
FibonacciChick666
  • FibonacciChick666
did that help?
anonymous
  • anonymous
thankyou yes it did, but when i figured out 25/16b=17, i got b=10.88 is that right?
anonymous
  • anonymous
sorry i just saw the end of the video, what do u mean by plug it in for a and c?
FibonacciChick666
  • 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
anonymous
  • anonymous
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
FibonacciChick666
  • FibonacciChick666
ok h/o I'll redo the problem because you're right it doesn't make sense
anonymous
  • anonymous
okay thankyou so much appreciate it
FibonacciChick666
  • FibonacciChick666
ok I redid it and got the same answer are you sure you copied the problem correctly?
anonymous
  • anonymous
what 3 digit number did u get?
FibonacciChick666
  • FibonacciChick666
You can't get one, thats the problem lol
anonymous
  • anonymous
yeah haha thought so! one sec il check if i wrote it correctly
FibonacciChick666
  • FibonacciChick666
if you only took the first digit it would be 213..
anonymous
  • anonymous
but it dosent equal 17 thats the problem
anonymous
  • anonymous
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
FibonacciChick666
  • FibonacciChick666
ok well... I think they messed up lol let me try another approach
anonymous
  • anonymous
dont worry if u cant find it thanks for the help anyway
FibonacciChick666
  • FibonacciChick666
sorry I couldn't get it... I mean that is the answer. I guarantee it but that is so odd
anonymous
  • anonymous
no worries thanks anyway
FibonacciChick666
  • FibonacciChick666
@Hoa , can you double check this for me please?
FibonacciChick666
  • FibonacciChick666
@nincompoop can you double check this for me?
nincompoop
  • 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
FibonacciChick666
  • FibonacciChick666
z=1/4(x+y)
nincompoop
  • 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
nincompoop
  • nincompoop
1/4 of 28 is 7 our first two digits in 287 is 28
FibonacciChick666
  • FibonacciChick666
OMG! formed as in put together... I'm such a nitwit usually I read formed as add
nincompoop
  • nincompoop
I thought I was going to embarrass myself in front of you…. I was sweating bullets (lol's)
FibonacciChick666
  • 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

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