Question

Lucie is 5 years younger than her brother. Three years ago, Lucie was twice younger than her brother. How old is each now?

Answer 1

Answer: Lucie is 8 and her brother is 13

Step-by-step explanation: the only possible way for Lucie to be half her brother's age while being 5 years younger at the same time, is if she's 5 and he's 10. that's how old they were 3 years ago. now you just add 3 to 5 and 10 to find their current ages; 5+3=8 so Lucie is 8, and 10+3=13 so her brother is 13.

:)

Answer 2

Lucie is 8 and her brother is 13

Explanation:

Lucie is 5 years younger than her brother. Three years ago, Lucie was twice younger than her brother.

Let L be the Lucie age

and B be the brothers age

Lucie is 5 years younger than her brother

L= B-5

Three years ago, Lucie age is L-3

brother is B-3

Lucie was twice younger than her brother.

2(L-3)= B-3

Plug in B-5 for L

2(B-5-3)= B-3

2B - 16= B-3

Subtract B from both sides

B - 16 = -3

Add 16 on both sides

B= 13

Age of brother = 13

Age of Lucie = brother -5 = 13-5 = 8