Question

Moira is 3 years older than her sister Morag and 5 years younger than her sister Muriel. The sum of their three ages is 41. How old is Moira?

Answer 1

Moira =13 years, Morag =10 years, Muriel =18 years

Explanation:

Moira =x

Morag =y

Muriel =z

x=y+3=>y=x-3

x=z-5=>z=x+5

=>

x+x-3 +x +5 =41

3x=41 - 5 +3

3x=39

x=39 :3

x=13 (Moira is 13 years)

y=13-3 =10 (Morag is 10 years)

z=13 +5 =18 (Muriel is 18 years)