The ratio of Chinmoy's age to Ershad's age is 4:5, and the sum of their ages is 99 years. Find each person's age.

Q.The ratio of Chinmoy's age to Ershad's age is 4:5, and the sum of their ages is 99 years. Find each person's age.

Let Chinmoy's and Ershad's ages be \(4x\) years and \(5x\) years respectively. ∴ According to the question: \[ 4x + 5x = 99 \Rightarrow 9x = 99 \Rightarrow x = 11 \] ∴ Chinmoy's age = \(4x = 4 \times 11 = 44\) years And Ershad's age = \(5x = 5 \times 11 = 55\) years.