SOLUTION: One number seven more than another number if the sum of twice the smaller number +3 times larger number is 81 find the two numbers

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Question 962502: One number seven more than another number if the sum of twice the smaller number +3 times larger number is 81 find the two numbers
Answer by hkwu(60) About Me  (Show Source):
You can put this solution on YOUR website!
Standard linear system. Let
a be the larger
b be the smaller
Then we have
a+=+b+%2B+7
and
2b+%2B+3a+=+81
Substituting,
2b+%2B+3%28b%2B7%29=81
2b%2B3b%2B21=81
5b=60
b=12
and
a=12%2B7=19
Therefore a = 19 and b = 12.