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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

Respuesta :

Answer:

Ted is 6 years old

Leon is 7 years old

Andrew is 8 years old

Step-by-step 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

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