Question

Thomas is 5times older than daphne. in the next ten year's to come thomas will be 3 times older than daphne. how old is thomas?

Answer 1

Thomas is 50 years old currently. This was determined by setting up equations expressing the given age relationships and solving for the unknowns.

Step-by-step explanation:

The subject of the question is a mathematical problem involving age and ratios. We are given that Thomas is currently 5 times older than Daphne and that in 10 years, he will be 3 times older than Daphne. To solve this problem, we can set up two equations based on this information:

Let's denote Thomas's age as T and Daphne's age as D.

Currently: T = 5D

In 10 years: T + 10 = 3(D + 10)

We can now substitute the first equation into the second:

5D + 10 = 3(D + 10)

5D + 10 = 3D + 30

Now, solve for D:

2D = 20

D = 10

Now that we have Daphne's current age, we can calculate Thomas's current age:

T = 5D

T = 5 × 10

T = 50

So, Thomas is currently 50 years old.