SOLUTION: The sum of two numbers is 24. Adding five times the smaller number to the greater number gives 68. Find the numbers.

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Question 875435: The sum of two numbers is 24. Adding five times the smaller number to the greater number gives 68. Find the numbers.
Answer by bond(4) About Me  (Show Source):
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let G be the Greater Number and S be the Smaller Number.
G + S = 24 ............(1)
G + 5S = 68 ............(2)
Eq. (2) - (1) yields
4S = 68 -24;
S = 11;
Hence putting S = 11 in eq. (1) or (2) yields G = 13.