SOLUTION: 4 years ago shirleys age was 2 years more than 4 times kims age. 4 years from now, she will be 3 times as old as kim will be.

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Question 692984: 4 years ago shirleys age was 2 years more than 4 times kims age. 4 years from now, she will be 3 times as old as kim will be.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Shirley's age now
Let +b+ = Kim's age now
+a+-+4+ = Shirley's age 4 yrs ago
+a+%2B+4+ = Shirley's age 4 years from now
+b+-+4+ = Kim's age 4 yrs ago
+b+%2B+4+ = Kim's age 4 yrs from now
-----------------------------------
given:
(1) +a+-+4+=+4%2A%28+b+-+4+%29+%2B+2+
(2) +a+%2B+4+=+3%2A%28+b+%2B+4+%29+
-----------------------
(1) +a+-+4+=+4b+-+16+%2B+2+10
(1) +a+-+4+=+4b+-+14+
(1) +a+-+4b+=+-+10+
and
(2) +a+%2B+4+=+3b+%2B+12+
(2) +a+-+3b+=+8+
----------------
Subtract (1) from (2)
(2) +a+-+3b+=+8+
(1) +-a+%2B+4b+=+10+
+b+=+18+
and
(2) +a+-+3b+=+8+
(2) +a+=+3b+%2B+8+
(2) +a+=+3%2A18+%2B+8+
(2) +a+=+54+%2B+8+
(2) +a+=+62+
Shirley is 62
Kim is 18
----------
check:
(1) +a+-+4+=+4%2A%28+b+-+4+%29+%2B+2+
(1) +62+-+4+=+4%2A%28+18+-+4+%29+%2B+2+
(1) +58+=+4%2A14+%2B+2+
(1) +58+=+58+
OK
and
(2) +a+%2B+4+=+3%2A%28+b+%2B+4+%29+
(2) +62+%2B+4+=+3%2A%28+18+%2B+4+%29+
(2) +66+=+3%2A22+
(2) +66+=+66+
OK