SOLUTION: A father is twice as old as his son and thrice as old as his daughter. If the father is eight years older than the sum of his children's ages, find the age of the daughter? Tha

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Question 601828: A father is twice as old as his son and thrice as old as his daughter. If the father is eight years older than the sum of his children's ages, find the age of the daughter?
Thanks.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +f+ = Father's age
Let +s+ = Son's age
Let +d+ = Daughter's age
----------------------
given:
(1) +f+=+2s+
(2) +f+=+3d+
(3) +f+=+s+%2B+d+%2B+8+
------------------
(1) +s+=+f%2F2+
(2) +d+=+f%2F3+
By substitution,
(3) +f+=+f%2F2+%2B+f%2F3+%2B+8+
(3) +6f+=+3f+%2B+2f+%2B+48+
(3) +6f+-+5f+=+48+
(3) +f+=+48+
and, since
+d+=+f%2F3+
+d+=+16+
The Daughter is 16
check:
(1) +s+=+f%2F2+
(1) +s+=+24+
(3) +f+=+s+%2B+d+%2B+8+
(3) +f+=+24+%2B+16+%2B+8+
(3) +f+=+48+
OK