Question

Suzy is ten years older than Belly, and the next year she will be twice as old as Billy. How old are they now? Show solution.

Answer 1

I understand there is a typo, so Belly and Billy are the same person. His age is represented as B, and Suzy's as S.

S = 19

B = 9

Explanation:

Suzy is ten years older than Belly:

(1) S = B + 10

the next year she will be twice as old as Billy

(2) S + 1 = 2 (B + 1)

solving the system of equation (1) and (2):

Making (2) - (1):

1 = 2 (B + 1) - B - 10 => 1 = 2 B + 2 - B - 10 => 1 = B - 8 => B = 9

replacing in (1) S = 19