SOLUTION: {the sum of two numbers is 72. if twice the smaller number is 3 more than the greater, find them}

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Question 183147: {the sum of two numbers is 72. if twice the smaller number is 3 more than the greater, find them}
Answer by Mathtut(3670) About Me  (Show Source):
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{the sum of two numbers is 72. if twice the smaller number is 3 more than the greater, find them}
:
let the two numbers be a and b
:
a+b=72........eq 1
2a=b+3........eq 2
:
rewrite equation 1 to a=72-b and plug it into eq 2
:
2(72-b)=b+3
:
144-2b=b+3
:
-3b=-141
:
highlight%28b=47%29greater number
:
a=72-47=highlight%2825%29 smaller number