The age of father is four times as much as the sum of the age of his three children but 6 years hence his age will be only double the sum of their ages. Find the age of the father.
Answer & explanation
Correct answer: option 3
let age of father = x and age os sum of his 3 children = y
ATQ,
x = 4y
after 6 years
( x + 6 ) = 2 ( y + 6 +6 + 6 ) [6 is added thrice for three children ]
x = 2y + 30
put x = 4y
4y = 2y + 30
2y = 30
y = 15
so age of father is x = 4 × 15 = 60 years