If the present age of a father is 45 years and his son is 15 years old, in how m

If the present age of a father is 45 years and his son is 15 years old, in how many years will the father be twice as old as his son?

If the present age of a father is 45 years and his son is 15 years old, in how many years will the father be twice as old as his son?

Correct Answer: 15

Step 1: Identify the current ages of the father and son. The father is 45 years old and the son is 15 years old.
Step 2: Define the number of years in the future we are trying to find as 'x'.
Step 3: Write the father's age in 'x' years. It will be 45 + x.
Step 4: Write the son's age in 'x' years. It will be 15 + x.
Step 5: Set up the equation to find when the father's age will be twice the son's age: 45 + x = 2(15 + x).
Step 6: Simplify the equation: 45 + x = 30 + 2x.
Step 7: Rearrange the equation to isolate 'x': 45 - 30 = 2x - x.
Step 8: Simplify further: 15 = x.
Step 9: Conclude that in 15 years, the father will be twice as old as the son.

Age Problems – This question tests the ability to set up and solve equations based on the ages of individuals over time.
Algebraic Manipulation – It requires skills in manipulating algebraic expressions to isolate variables and solve for unknowns.