SOLUTION: the sum of two number is 36. if the larger is divided by the smaller the quotient is 2 and the remainder is 3. find the numbers.

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Question 720083: the sum of two number is 36. if the larger is divided by the smaller the quotient is 2 and the remainder is 3. find the numbers.
Found 2 solutions by josgarithmetic, god2012:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Two numbers, x and y. Condition: y%3Ex.

x%2By=36 and y%2Fx=2%2B3%2Fx. Find x and y.

Answer by god2012(113) About Me  (Show Source):
You can put this solution on YOUR website!
Let the smaller number be 'a' and bigger number be 'b'.
Given : a + b = 36 -------------eq.1
a) b ( 2
----
3
This can be written as
b = 2a + 3 or 2a-b = -3 -------eq.2
Solving eq.1 and 2, we get
a= 11 and b = 25