Multiple choice

The sum of the current ages of Jay and Vijay is 40 years. After 7 years, the ratio of their ages will be 4 : 5, respectively. What will be the current age difference between both Jay and Vijay?

  1. 5

  2. 9

  3. 13

  4. 6
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let J and V be current ages. J+V=40. After 7 years, (J+7)/(V+7) = 4/5. 5J+35 = 4V+28, so 4V-5J=7. Substituting V=40-J, 4(40-J)-5J=7, 160-9J=7, 9J=153, J=17. Then V=23. Difference is 23-17=6.

AI explanation

Let the present ages of Jay and Vijay be J and V, so J + V = 40. In seven years, the ratio of their ages will be 4:5, which gives the equation (J + 7) / (V + 7) = 4 / 5. Cross-multiplying yields 5J + 35 = 4V + 28, and substituting V = 40 - J results in 5J + 35 = 160 - 4J + 28, meaning 9J = 153 and J = 17. Since Vijay is 23, the current age difference is 6 years.

Keep practicing — related questions