Question

George is five times older than his sister. Five years ago, the sum of George and his sister was 62. How old are they now?

a) George: 20, Sister: 4
b) George: 25, Sister: 5
c) George: 30, Sister: 6
d) George: 35, Sister: 7

Answer 1

George is 60 years old and his sister is 12 years old.

Step-by-step explanation:

Let's denote George's age as G and his sister's age as S. According to the given information, George is five times older than his sister, so we can write the equation G = 5S.

Five years ago, the sum of their ages was 62, which means that (G-5) + (S-5) = 62. Solving these two equations simultaneously will give us the current ages of George and his sister.

Substituting G = 5S from the first equation into the second equation, we get (5S-5) + (S-5) = 62. Simplifying this equation, we get 6S - 10 = 62. Adding 10 to both sides, we have 6S = 72. Dividing both sides by 6, we find that S = 12. Therefore, George's sister is 12 years old.

Substituting S = 12 into G = 5S, we get G = 5(12) = 60. Therefore, George is 60 years old. So the correct answer is:

George: 60, Sister: 12