AFCAT I 2017 Solved Paper

Let total age of family be G years.
10 years ago, total age = G – 10 × 4 = G – 40
According to question
‌‌

G−40

4

=24
G = 24 × 4 + 40 = 136 years
Let present age of youngest child = x
Present age of older child = x + 2
‌‌

G+x+x+2

6

=24
‌‌

136+x+x+2

6

=24
2x + 138 = 24 × 6
2x = 144 – 138 = 6
∴ x = 6/2 = 3 years
∴ Present age of youngest child = 3 years