Final answer:
In 4 years, the father's age will be three times the age of the child. The equation 44 + x = 3 × (12 + x) is used to determine this, solving for x to find the answer.
Step-by-step explanation:
The student is asking to find out in how many years the father's age will be three times the age of his child. The current age of the child is 12 years old, and the father is 32 years older, making the father's age 44 years old (12 years + 32 years). Let's denote the number of years in which the father's age will be three times the child's age as 'x'.
To solve the problem, we set up the following equation based on the information given:
44 years + x = 3 × (12 years + x)
Now, we simplify and solve for x:
- 44 + x = 36 + 3x
- 44 - 36 = 3x - x
- 8 = 2x
- x = 4
Therefore, in 4 years, the father's age will be three times the age of the child.