SOLUTION: Jaime is 5 years older than her sister Amy. If the sum of their ages is 19 how old is Jaime?

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Question 1058653: Jaime is 5 years older than her sister Amy. If the sum of their ages is 19 how old is Jaime?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +j+ = Jaime's age now
Let +a+ = Amy's age now
----------------------------
(1) +j+=+a+%2B+5+
(2) +j+%2B+a+=+19+
-----------------------
Substitute (1) into (2)
(2) +a+%2B+5+%2B+a+=+19+
(2) +2a+%2B+5+=+19+
(2) +2a+=+14+
(2) +a+=+7+
and
(1) +j+=+a+%2B+5+
(1) +j+=+7+%2B+5+
(1) +j+=+12+
Jaime is 12
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check:
(2) +j+%2B+a+=+19+
(2) +12+%2B+7+=+19+
(2) +19+=+19+
OK