Multiple choice

The ratio of present ages of A and B is 5 : 8. If after 8 years, the ratio of ages of A and B will be 2 : 3, then what is the present age (in years) of A?

  1. 64

  2. 40

  3. 48

  4. 72
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let ages be 5x and 8x. After 8 years: (5x + 8) / (8x + 8) = 2/3. 15x + 24 = 16x + 16. x = 8. A's present age = 5 * 8 = 40.

AI explanation

Let the present ages of A and B be 5x and 8x. In 8 years, their ages will be 5x plus 8 and 8x plus 8, which are in a 2 to 3 ratio. This gives the equation 3 times 5x plus 8 equals 2 times 8x plus 8. Simplifying this results in 15x plus 24 equals 16x plus 16, so x equals 8. Since A's present age is 5x, A is 40 years old.

Keep practicing — related questions