Question

Martina is currently 12 years older than her cousin Joey. In 4 years she will be 3 times as old

as Joey. Use this information to answer the following questions.

Answer 1

`\Huge{\underline{\underline{\sf{\red{AnSwEr:}}}}}`

`\boxed{\sf{Martina's \: Present \: age = 14 \: years}}`

`\boxed{\sf{Her \: cousin's \: Present \: age = 2\: years}}`

`\Huge{\underline{\underline{\sf{\green{ExpLaNaTion:}}}}}`

= Let Martina's cousin's age be = n

= Let her age be = n+12

After four years,

Cousin's age = n+4

Her age = n+12+4=n+16

But according to the question her age = 3(n+4) = 3n+12

Thus,

3n+12=n+16

3n-n=16-12

2n=4

n=4/2

`\boxed{ \sf {n = 2}}`

Thus ,

Her cousin's present age = n = 2

Her cousin's present age = n = 2Her present age = n+12 = 2+12=14