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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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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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