The ratio of ages of two students is 3 : 2. One is older

The ratio of ages of two students is 3 : 2. One is older to the other by 5 years. What is the age of the younger student ?

Let their age be 3x and 2x years.
∴ 3x – 2x = 5
⇒ x = 5
∴ Younger student’s age
= 2x = 2 × 5 = 10 years