Question

Adrian is x years old. Benny is 7 years younger than Adrian. In 5 year's time, Benny will be twice the age of Celine. How old is Celine now in terms of x.

Answer 1

Answer:
`\bold{(1)/(2)x-6}`

Explanation:

Set up a table to compile the information provided.

`\begin {array}c&\underline{Today}&\underline{\qquad in\ 5\ years\qquad }\\ Adrian&x&(x)+5\\Celine&y&y+5\\Benny&x-7&(x-7)+5=2(y+5)\\\end{array}`

We want to find Celine's age today (y) so use the "Benny in 5 years" equation to solve for y.

(x - 7) + 5 = 2(y + 5)

x - 2 = 2y + 10

x - 12 = 2y

`(x-12)/(2)=y\qquad \rightarrow \qquad (1)/(2)x-6=y`