Multiple choice

The ratio of present ages of Rangana and Sayed is 7 : 5. After 11 years, the ratio of their ages will be 4 : 3. What is Rangana's present age?

  1. 55 years

  2. 77 years

  3. 70 years

  4. 96 years

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let ages be 7x and 5x. (7x+11)/(5x+11) = 4/3. 21x + 33 = 20x + 44. x = 11. Rangana's age = 7*11 = 77.

AI explanation

Let the present ages of Rangana and Sayed be 7x and 5x years. After 11 years, the ratio of their ages will be 4 to 3, giving the equation (7x + 11) divided by (5x + 11) equals 4 divided by 3. Cross-multiplying yields 21x + 33 = 20x + 44, so x equals 11. Rangana's present age is 7 times 11, which is 77 years.