Question

Five years ago, Lucia’s age was 1/3 the age she will be in eleven years. How old is Lucia now? Enter an integer.

Answer 1

13 years old

Explanation:

Let the age now be =
`x`

Age 5 years ago =
`x - 5`

Age 11 years from now =
`x + 11`

`x - 5 = (1)/(3)(x+11)`

`x - 5 = (1)/(3)x + (11)/(3)`

`x - (1)/(3)x = (11)/(3) + 5`

`(2)/(3)x = (26)/(3)`

`x = (26)/(3)/(2)/(3)`

`x = 13`