SOLUTION: there are two numbers. the first number minus the second number is 15. one third of the sum of the numbers is one quarter of the first number. what is the number

Question 1005759: there are two numbers. the first number minus the second number is 15. one third of the sum of the numbers is one quarter of the first number. what is the number

Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the numbers x and y. Then we have
x - y = 15 and
(1/3)(x + y) = (1/4)x
Let's clear the fractions on the second one, by multiplying by twelve...
4(x + y) = 3x
4x + 4y = 3x
x + 4y = 0
If we subtract the first equation from this we get
x + 4y = 0
-(x - y = 15)
------------------
5y = -15
y = -3
x is then 12.
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