The ratio of ages of A and B, four years ago, was 3 : 4 . 6 years from now, the ratio of the ages of A and B will be 7 : 9 . What is the sum of their present age?
Answer & explanation
Correct answer: option 2
4 years ago ⇒ A : B = 3 : 4
⇒ \(\frac{3x + 10 }{4x + 10}\) = \(\frac{7}{9}\)
⇒ 27x + 90 = 28x + 70
⇒ x = 20
4 years ago age of A and B = (3 x 20), (4 x 20) = 60 , 80
Now, Present age of A and B = (60 + 4), (80 + 4) = 64 , 84
Sum = 64 + 84 = 148 years