Question

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?

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

the equations are good though

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

exactly can you solve for b now?

Answer 9

i cant seem to figure it out :/

Answer 10

ok let's do it together

Answer 11

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

Answer 12

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

Answer 13

ok give me a min and ill explain better

Answer 14

okay thankyou so much

Answer 15

http://www.educreations.com/lesson/view/for-oly-surf/7121943/?ref=link this should explain it

Answer 16

did that help?

Answer 17

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

Answer 18

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

Answer 19

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

Answer 20

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

Answer 21

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

Answer 22

okay thankyou so much appreciate it

Answer 23

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

Answer 24

what 3 digit number did u get?

Answer 25

You can't get one, thats the problem lol

Answer 26

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

Answer 27

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

Answer 28

but it dosent equal 17 thats the problem

Answer 29

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

Answer 30

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

Answer 31

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

Answer 32

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

Answer 33

no worries thanks anyway

Answer 34

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

Answer 35

@nincompoop can you double check this for me?

Answer 36

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

Answer 37

z=1/4(x+y)

Answer 38

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

Answer 39

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

Answer 40

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

Answer 41

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

Answer 42

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