A man’s age is 5 times his son’s age. After 5 years, the man’s age will be…

Step-by-Step Solution

To find the present ages of the man and his son, we can set up two linear equations based on the information provided.

1. Define the variables:

   • Let the son's present age be x.

   • Then, the man's present age is 5x (since it is 5 times the son's age).

2. Set up the equation for the future scenario:

   • After 5 years, the son's age will be (x + 5).

   • After 5 years, the man's age will be (5x + 5).

   • According to the problem, the man's age will be three times the son's age: 5x + 5 = 3 * (x + 5)

3. Solve for x:

   • 5x + 5 = 3x + 15

   • 5x - 3x = 15 - 5

   • 2x = 10

   • x = 5 (Son's present age)

4. Find the man's age:

   • Man's age = 5x = 5 * 5 = 25.