Question

Dexter adopted a child who is exactly 24 years younger than him. In one year's time, Dexter will be 3 times as old as his child will be. How old is Dexter now?

Answer 1

By setting up an equation based on the given age relationship and simplifying, we find that Dexter is currently 35 years old.

Step-by-step explanation:

We're given that Dexter adopted a child who is exactly 24 years younger than him. In one year's time, Dexter will be 3 times as old as his child will be. We have to figure out Dexter's current age.

Let's denote Dexter's current age as D and his child's current age as C. According to the problem, C = D - 24. In a year, Dexter's age will be D+1 and his child's age will be C+1.

The problem states that in one year, Dexter will be three times as old as the child, which can be expressed as:

D+1 = 3(C+1)

Substituting C with D - 24 into the equation, we get:

D+1 = 3((D - 24)+1)

Simplifying:

D+1 = 3(D - 23)

D+1 = 3D - 69

Moving all terms relating to D to one side:

2D = 70

Dividing both sides by 2 gives us D = 35.

So Dexter is currently 35 years old.