SOLUTION: A parent is 10 times as old as a child. Six years from now, the parent will be 4 times as old as the child will be. Find their ages now.

Question 991298: A parent is 10 times as old as a child. Six years from now, the parent will be 4 times as old as the child will be. Find their ages now.
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
A parent is 10 times as old as a child.
P = 10C
Six years from now, the parent will be
4 times as old as the child will be.
P + 6 = 4(C + 6)
Replace P with 10C from top equation.
10C + 6 = 4(C + 6)
10C + 6 = 4C + 24
Collect like terms:
10C - 4C = 24 - 6
6C = 18
C = 3
Child's age is 3 years
Parent is 30 years old.
Hope this helps :-)
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