Question

Stephanie is x years old. Tobi is twice as old as Stephanie. Ulrika is 3 years younger than Tobi. The sum of all their ages is 52 years. Work out the value of x.

Answer 1

`x=11`

Explanation:

Stephanie is
`x` years old.

Tobie is
`2x` years old.

Ulrika is
`2x-3` years old.

`x+2x+2x-3=52`

`5x-3=52`

`5x=52+3`

`5x=55`

`(5x)/(5) =(55)/(5)`

`x=11`

Answer 2

`x = 11`

Explanation:

Stephanie = x

Tobi = 2x

Ulrika = 2x-3

`x + 2x + 2x + 3 = 52 \\ 5x - 3 = 52 \\ 5x = 52 + 3 \\ 5x =55 \\ (5x)/(5) = (55)/(5) \\ x = 11`

hope this helps