SOLUTION: Mrs. West is 14 years younger than her aunt. If Mrs. West's age in years is as much below 60 as her aunt's age is over 40, how old is each?

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Question 247774: Mrs. West is 14 years younger than her aunt. If Mrs. West's age in years is as much below 60 as her aunt's age is over 40, how old is each?

Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Let A = the age of Mrs. West
Let B = the age of the Aunt
Equation 1: +B+=+A+%2B+14
Equation 2: 60+-+A+=+B+-+40
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Solution:
Plug (A + 14) into equation 2 for B
Equation 2: 60+-+A+=+B+-+40
60+-+A+=+%28A+%2B+14%29+-+40 Simplify
60+-+A+=+-26+%2B+A Add 26 from both sides
60+-+A+%2B+26+=+A Add A to both sides
60+%2B+26+=+A+%2B+ASimplify
86+=+2A Divide both sides by 2
highlight%2843+=+A%29
Now plug 43 into equation 1 for A
Equation 1: +B+=+A+%2B+14
+B+=+43+%2B+14
highlight%28B+=+57%29