Multiple choice

The ratio between age of Harish and his elder brother is 2: 5. After 4 years the ratio between their ages will be 1: 2. Find the difference between their present ages.

  1. 10

  2. 16

  3. 14

  4. 12

  5. 18
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let ages be 2x and 5x. After 4 years, (2x+4)/(5x+4) = 1/2. Solving gives 4x+8 = 5x+4, so x=4. Their ages are 8 and 20. The difference is 20-8 = 12.

AI explanation

Let the present ages of Harish and his elder brother be 2x and 5x years. After 4 years, their ages will be 2x + 4 and 5x + 4, and the given ratio is 1:2, so we write 2(2x + 4) = 5x + 4. Solving this equation gives 4x + 8 = 5x + 4, which means x = 4. The difference between their present ages is 5x - 2x = 3x, which equals 3 times 4 or 12 years.

Keep practicing — related questions