The larger of two numbers is 6less than 10 times the smaller. if their sum is 60 , find the numbers.

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11-01-2017
Mathematics

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The larger of two numbers is 6less than 10 times the smaller. if their sum is 60 , find the numbers.

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Apocrophon Apocrophon · Answer 1 · 2017-01-11T03:28:44-05:00

Apocrophon Apocrophon

11-01-2017

\(A = 10a-6\\ A + a = 60\\ a=60-A\\ plug\ the\ first\ equation\ into\ the\ first\\\\ A=10(60-A)-6\\ A=600-10A-6\\ 11A=594\\ A= 54\\ Plug\ A\ into\ an\ equation\\ A+a=60\\ 54+a=60\\ a=6\)

So a = 6 and A = 54

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