SOLUTION: jack is 8 years older than jill. 7 years from now the sum of their ages will be 64. how old is jill now?

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Question 258861: jack is 8 years older than jill. 7 years from now the sum of their ages will be 64. how old is jill now?
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Setup
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Let Jack's age = A
Let Jill's age = B
Equation 1: A+=+B+%2B+8 (Jack is 8 years older than Jill)
Equation 2: %28A+%2B+7%29+%2B+%28B+%2B+7%29+=+64 (To obtain their ages in seven years)
Solution
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Substitute equation 1 into equation 2
%28B+%2B+8%29+%2B+7%29+%2B+%28B+%2B+7%29+=+64 Combine like terms
2B+%2B+22+=+64 Subtract 22 from both sides
2B+=+42 Divide both sides by 2
highlight%28B+=+21%29