SOLUTION: Mrs. West is 14 years younger than her aunt. If Mrs. West's age in years is as much below 60 as her aunts age is over 40 how old is each? I need help setting the problem up.

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Question 763063: Mrs. West is 14 years younger than her aunt. If Mrs. West's age in years is as much below 60 as her aunts age is over 40 how old is each?
I need help setting the problem up.

Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Let A = the Aunt's age
Let B = Mrs. West's age
Equation 1: A+=+B+%2B+14
Equation 2: A+-+40+=+60+-+B
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Plug (B + 14) into equation 2 for A.
Equation 2: A+-+40+=+60+-+B
%28B%2B14%29+-+40+=+60+-+B
Combine like terms.
B+-+26+=+60+-+B
Add B to both sides.
2B+-+26+=+60
Add 26 to both sides.
2B+=+86
Divide both sides by 2.
highlight%28B+=+43%29
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Now plug 43 into equation 1 for B.
Equation 1: A+=+B+%2B+14%29%29%29%0D%0A%7B%7B%7BA+=+%2843%29+%2B+14
highlight_green%28A+=+57%29