SOLUTION: Two times Heather's age plus seven times Jim's age adds up to 566. Also, Jim's age is 6 less than twice Heather's age. How old is Jim?

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Question 1030696: Two times Heather's age plus seven times Jim's age adds up to 566. Also, Jim's age is 6 less than twice Heather's age. How old is Jim?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +h+ = Heather's age now
Let +j+ = Jim's age now
-----------------------------
(1) +2h+%2B+7j+=+566+
(2) +j+=+2h+-+6+
--------------------
Substitute (2) into (1)
(1) +2h+%2B+7%2A%28+2h+-+6+%29+=+566+
(1) +2h+%2B+14h+-+42+=+566+
(1) +16h+=+608+
(1) +h+=+38+
and
(2) +j+=+2h+-+6+
(2) +j+=+2%2A38+-+6+
(2) +j+=+76+-+6+
(2) +j+=+70+
Jim is 70
check:
(1) +2h+%2B+7j+=+566+
(1) +2%2A38+%2B+7%2A70+=+566+
(1) +76+%2B+490+=+566+
(1) +566+=+566+
OK