The present age of a father is equal to sum of the ages of his 4 children. After ten years the sum of the ages of the children will be 1.6 times the age of their father. What is the present age of father?

Explanation

Let father's age be F and the sum of his 4 children's ages be C. Given F = C. After 10 years, father's age is F + 10 and the children's age sum is C + 40. Given C + 40 = 1.6(F + 10). Since C=F, F + 40 = 1.6F + 16 \implies 0.6F = 24 \implies F = 40.

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