Question

Martina is currently 14 years older than her cousin joey. in 5 years she will be 3 times as old as joey. what expression can represent joey’s age in 5 years and what expression represents martina’s age in 5 years?

Answer 1

Refer Explanation section.

Explanation:

Joey's current age `=x`
Martina's current age `=x+14`

After five years

The expression that represents Joey's age `=x+5`

The expression that represents Martina's age `=(x+5)3`

Verification
Martina's age after five years can be calculated in two ways.
Method - 1
Martina's age `=(x+14)+5`

Method - 2
Martina's age `=(x+5)3`

So -

`(x+14)+5=(x+5)3`
`x+14+5=3x+15`
`x+19=3x+15`
`x-3x=15-19`
`-2x=-4`
`x=(-4)/(-2)=2`

Joey's current age is `=2`
Martina's current age is `=2+14=16`

Martina is 14 years elder to Joey

After five years.

Joey's age `=2+5=7`
Martina's age `=16+5=21`

Martina is 3 times elder to Joey.