Question

a mother is 3 times the age
of her son 5 yeaers back the son was one sixth the age of his father if the father is 5yrs older than the mother what is the age of the son​

Answer 1

Answer:

A mother is three times the age of her son. Five years back, the son was 1/7 of his father. If the father is 5 years older than the mother, what is the ages of the son?

Solution: Let the son’s age be s years, now.

His mother is 3s years and his father is (3s+5).

Five years ago the father was 3s = 7(s-5), or

3s = 7s-35, or

4s = 35, or

s = 8 y 9 m.

The son is 8 y 9 m, now. Answer

Check: His mother is 3 * 8y 9 m or 26 y 3 m. The father is 31y 3m. Five years ago the father was 26 y 3 m. The son was 3 y 9 m. Seven times 3 y 9 m = 7*45 m = 315 m or 26 y and 3 m. Correct.