**Today I am twice as old as my little brother and five years younger than my sister. In 5 years, my older sister will be twice as old as my little brother. In 7 years, I will be ¾ as old as my sister. How old did Shamique turn on her birthday? How old is her brother? How old is her sister?**

Guest Jan 6, 2021

edited by
Guest
Jan 6, 2021

#1**+2 **

Assuming Shamique is asking the question, then, in equation form the information is:

S = 2b (1) where S is Shamique's age, b is her brother's age

S = s - 5 (2) where s is her sister's age

s + 5 = 2(b + 5) However, this is not independent information as it can be derived from equations (1) and (2), so we ignore it!

S + 7 = (3/4)(s + 7) (3)

We can now solve equations (1), (2) and (3) for S, b and s.

Can you take it from here?

(You should get S = 8, b = 4 and s = 13).

Alan Jan 6, 2021