Question

Ahmad’s father is 4 times as old as Ahmad. After 5 years, father will be three times as old as Ahmad. Find their present ages

Answer 1

Ahmad's current age is 10 years, and his father's current age is 40 years. The key steps involved defining a variable for Ahmad's age, forming an equation based on the given conditions, and solving it to find the ages.

Step-by-step explanation:

Let Ahmad's current age be x years. Therefore, his father's current age is 4x years, as stated in the problem. After 5 years, Ahmad will be x+5 years old and his father will be 4x+5 years old. According to the second condition, after 5 years, Ahmad's father will be three times as old as Ahmad. This gives us the equation:

4x+5 = 3(x+5)

By solving the equation:

4x+5 = 3x+15

4x - 3x = 15 - 5

x = 10

Thus, Ahmad's current age is 10 years, and his father's current age is 4 × 10 = 40 years.