Question

Dinesh is 30 year less then his father, after 4 years their ratio of their ages are 3:5... Find age of father and son.

Answer 1

Let the present age of father be x years
and present age of son be y years, then ;
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y + 30 = x
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After 4 years;
the age of father will be (x+4) years
& age of son will be (y+4) years

(y+4)/(x+4) = 3/5
5y+20 = 3x+12
5y - 3x = -8

5y -3(y+30) = -8
5y -3y -90 = -8
2y = 82
y = 41

x = y+30
x = 41+30
x = 71

hence the present age of father is 71 years and that of son is 41 years.