Question

Danny is 5 years older than Emily. In 8 years the sum of their ages will be 69. How old is Danny now?years old

Answer 1

29 years old

Explanation:

Let Danny's present age = x

If Danny is 5 years older than Emily, then Emily's age = x-5

In 8 years time, their ages will be as follows:

• Danny: x+8

,

• Emily: x-5+8 = x+3

The sum of their ages is 69.

`(x+8)+(x+3)=69`

Solve for x.

`\begin{gathered} x+8+x+3=69 \\ Collec\text{t like terms together} \\ 2x+11=69 \\ \text{Subtract 11 from both sides} \\ 2x+11-11=69-11 \\ 2x=58 \\ \text{Divide both sides by 2} \\ (2x)/(2)=(58)/(2) \\ x=29 \end{gathered}`

Danny is 29 years old now.