The ratio of present ages of a son and his father is 1:5 and that of his mother and his father is 4:5. After 4 years the ratio of age of son to his mother age will be 3:10. Find the present age of father ( in years ) ?
Answer & explanation
Correct answer: option 2
Son : Father Mother : Father
(given) 1 : 5 & 4 : 5
so, → Son : Father : Mother
→ 1 : 5 : 4
That means son : mother
1 : 4
Let age of son = x , age of mother = 4x and age of father = 5x
According to question , after 4 years
\(\frac{x\;+\;4}{4x\;+4}\) = \(\frac{3}{10}\)
10x + 40 = 12x + 12
2x = 28
x = 14
As , age of father = 5x
Age of Father = 14 × 5 =70 years