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# The sum of Jocelyn and Joseph's age is 40. In 5 years, Joseph will be twice as Jocelyn's present age

##### Administrator

**Staff member**

The sum of Jocelyn and Joseph's age is 40. In 5 years, Joseph will be twice as Jocelyn's present age. How old are they now?

Let Jocelyn's age be a

Let Joseph's age be b.

We're given two equations:

- a + b = 40
- 2(a + 5) = b + 5

We rearrange equation (1) in terms of a to get:

- a = 40 - b
- 2a = b + 5

Substitute equation (1) into equation (2) for a:

2(40 - b) = b + 5

80 - 2b = b + 5

To solve this equation for b, we

type it in our search engine and we get:

**b (Joseph's age) = 25**
Now, substitute b = 25 into equation (1) to solve for a:

a = 40 - 25

**a (Jocelyn's age) = 15**