SOLUTION: Alice is 14 years younger than Bob. If Alice's and Bob's Age were added together the result is 96. How old is Alice?

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Question 993296: Alice is 14 years younger than Bob. If Alice's and Bob's Age were added together the result is 96. How old is Alice?
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Alice is 14 years younger than Bob.
A = B - 14
If Alice's and Bob's Age were added
together the result is 96.
A + B = 96
Replace A with B - 14 from top equation.
B - 14 + B = 96
Collect like terms.
B + B = 96 + 14
2B = 110
B = 55
Bob is 55 years old
Alice is 41 years old.
Hope this helps :-)