Multiple choice

The ages of A and B are in the ratio 4 : 5. After 14 years, the ratio of their ages will be 6 : 7. What was the difference of their ages 5 years ago?

  1. 5 years

  2. 7 years

  3. 6 years

  4. 4 years

  5. 8 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the present age A be 4x years and that of B be 5x years. 

After 14 years, A's age = 4x + 14 years and B's age = 5x + 14 years

Now, according to question, 

(4x + 14)/(5x + 14) = 6/7

x = 7

Now, present age of A = 4 * 7 = 28 years and present age of B = 5 * 7 = 35 years

Age of A 5 years ago = 28 - 5 = 23 and B's age 5 years ago = 35 - 5 = 30 years

So, the difference of ages of A and B is 30 - 23 = 7 years.

Keep practicing — related questions