Ratio of present ages of P and Q is 9 : 4. The difference between their ages is 20 years. What will be the sum (in years) of their ages after 10 years?
62 years
66 years
72 years
76 years
C.
72 years
Let P's present age be 9x years.
Q's Present age be 4x years.
According to the question,
9x - 4x = 20
⟹ 5x = 20
⟹ x = 4
Now,
Sum of their ages after 10 years
= (9x + 10) + (4x + 10)
= 13x + 20 = 13 x 4 + 20 = 52 + 20 = 72 years