Question

The sum of Ted's and Leon's ages is

13 years. The sum of Leon's and Andrew's
ages is 15 years. The sum of Ted's and
Andrew's age is 14 years. How old is
each of them?
10 points to whoever solves it

Answer 1

Ted is 6 years old

Leon is 7 years old

Andrew is 8 years old

Explanation:

Ted+Leon=13 ⇒T+L=13 ⇒L=13-T

Leon+Andrew=15 ⇒L+A=15 ⇒A=15-L ⇒A=15-(13-T) because Leon =13-Ted

A=2+T

Ted+Andrew=14

T+A=14 ( substitute Andrew age from A=2+T)

T+2+T=14

2T=12

T=12/2=6 (Ted is 6 years old)

A=2+T=2+6=8 ( Andrew is 8 years old)

Leon=13-T=13-6=7 ( Leons is seven years old)

check: Ted+Leon=13 ⇒ 6+7=13

Leon + Andrew=15 ⇒7+8=15

Andrew+Ted=14 ⇒ 6+8=14