SOLUTION: A father is 3 times as old as his son and his daughter is 3yrs younger than the son. If the sum of their ages 3 yrs ago was 63, find the present age of the father
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Question 1082684: A father is 3 times as old as his son and his daughter is 3yrs younger than the son. If the sum of their ages 3 yrs ago was 63, find the present age of the father Answer by ikleyn(52784) (Show Source):
Let S be the son's present age.
Then the daughter's age is S-3 years now and the father's age is 3S years now.
3 years ago the son age was (S-3), the daughter's age was (S-6) and the father's age was 3S - 3.
So, your equation is
(S-3) + (S-6) + (3S-3) = 63 .
Simplify and solve for S:
5S - 12 = 63 ---> 5S = 75 ----> S = = 15.
So, the son is 15 years old now.
From this point, complete the solution on your own.
