SOLUTION: father’s age is three times the sum of the ages of his two children, but 20 years hence his age will be equal to the sum of their ages. Then the father’s ageis:

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Question 505938: father’s age is three times the sum of the ages of his two children, but 20 years hence his age will be equal to the sum of their ages. Then the father’s ageis:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let f = father's age
Let s = the sum of his children's ages
given:
(1) +f+=+3s+
+f+%2B+20+=+s+%2B+40+ (add 20 years for each child)
(2) +f+-+s+=+20+
substitute (1) into (2)
(2) +3s+-+s+=+20+
(2) +2s+=+20+
(2) +s+=+10+
and
(1) +f+=+3s+
(1) +f+=+30+
The father is 30