Question

(1 point) Mike and Lisa are brother and sister. Mike has as many brothers as sisters, and Lisa has three times as many brothers as sisters. How many boys and girls are there in this family?

Answer 1

Explanation:

Given that Mike and Lisa are brother and sister. Mike has as many brothers as sisters, and Lisa has three times as many brothers as sisters

i.e. If Mike has x sisters, then he has x brothers.

i.e. no of sons in total = x+1 (including Mike)

No of daughters = x

Lisa's brothers = x+1 and and Lisa sisters = x-1 (exclusing Lisa)

Given that

`x+1 =3(x-1)\\2x =4\\x=2`

Hence we find that there are 3 sons and two daughters in the family.