Question

Father+son's age= 60 yrs. after 15 years father's age will be 2X to the son's age, what is the son's current age?

Answer 1

After setting up the equation (60 - x) + 15 = 2(x + 15) and solving for x, we find that the son's current age is 15 years.

Step-by-step explanation:

Let's calculate the son's current age given that the combined age of the father and son is 60 years, and after 15 years, the father's age will be twice the son's age. We will use algebra to solve this problem.

Let x represent the son's current age, and therefore the father's current age would be 60 - x. In 15 years, the son's age will be x + 15 and the father's age will be (60 - x) + 15.

According to the condition given, after 15 years the father is twice the age of the son, which can be written as:

(60 - x) + 15 = 2(x + 15)

Let's solve this equation step by step:

1. Expand both sides: 60 - x + 15 = 2x + 30
2. Combine like terms: 75 - x = 2x + 30
3. Move all x terms to one side: 75 - 30 = 2x + x
4. Add the x's and subtract 30 from 75: 45 = 3x
5. Divide both sides by 3 to find x: x = 15

Therefore, the son's current age is 15 years.