SOLUTION: The difference of two numbers is seventy-two, and if the larger number is divided by the smaller number, then the quotient is seven and the remainder is six. Find the numbers.

Question 121048: The difference of two numbers is seventy-two, and if the larger number is divided by the smaller number, then the quotient is seven and the remainder is six. Find the numbers.
Found 2 solutions by MathLover1, stanbon:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

given:
let numbers be and , and
then
and
to find: and

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the numbers are:
and

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The difference of two numbers is seventy-two, and if the larger number is divided by the smaller number, then the quotient is seven and the remainder is six. Find the numbers.
-------------
Let one of the numbers be "x"; Then the other is "x+72".
EQUATION:
(x+72)/x = 7 + 6/x
(x+72) = 7x +6
6x = 66
x = 11 (the smaller number)
x+72= 83 (the larger number)
===============
Cheers,
Stan H.

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