SOLUTION: This year Tom is 4 times as old as his daughter, while in 5 years’ time he will only be 3 times as old as his daughter. Find the ages of Tom and his daughter now.

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Question 896295: This year Tom is 4 times as old as his daughter, while in 5 years’ time he will only be 3 times as old as his daughter. Find the ages of Tom and his daughter now.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = Tom's age now
Let +d+ = his daughter's age now
+t+%2B+5+ = Tom's age in +5+ years
+d+%2B+5+ = his daughter's age in +5+ years
--------------------------------------------
(1) +t+=+4d+
(2) +t+%2B+5+=+3%2A%28+d+%2B+5+%29+
-------------------------
(2) +t+%2B+5+=+3d+%2B+15+
(2) +t+-+3d+=+10+
Substitute (1) into (2)
(2) +4d+-+3d+=+10+
(2) +d+=+10+
and
(1) +t+=+4d+
(1) +t+=+4%2A10+
(1) +t+=+40+
Tom is 40 and
his daughter is 10
check:
(2) +t+%2B+5+=+3%2A%28+d+%2B+5+%29+
(2) +40+%2B+5+=+3%2A%28+10+%2B+5+%29+
(2) +45+=+3%2A15+
(2) +45+=+45+
OK