Question

Lucy is 3 times as old as her cousin. The difference in their ages is 14. Find Lucy's age.

Answer 1

hi there!

Alrighty, so if Lucy is 3 times as old as her cousin, who is 14, you would just multiply 14 x 3

So your answer would be 42. Hope this helped!

Answer 2

`\huge\boxed{\sf Lucy's \ age = 21}`

Explanation:

Let Lucy age be x and her cousin's age be y.

Condition # 1:

x = 3y --------------------(1)

Condition # 2:

x - y = 14 ----------------(2)

Put Eq. (1) in (2)

3y - y = 14

2y = 14

Divide both sides by 2

y = 7

Put y in Eq. (1)

x = 3(7)

x = 21

So,

Lucy cousin's age = 7

Lucy's age = 21

`\rule[225]{225}{2}`

Hope this helped!

~AH1807