SOLUTION: Please help me solve this problem and turn it into equation: Kenny is seven years older than his sister. The sum of their ages is 31. Find the age of each.

Question 988944: Please help me solve this problem and turn it into equation: Kenny is seven years older than his sister. The sum of their ages is 31. Find the age of each.
Found 2 solutions by macston, josmiceli:
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
K=Kenny's age; S=sister's age
.
K=S+7yrs Use this to substitute for K.
.
K+S=31 Substitute for K from above.
S+7+S=31
2S=24
S=12 ANSWER 1: Sister is 12 years old.
.
K=S+7yrs=12yrs+7yrs=19yrs ANSWER 2: Kenny is 19 years old.

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Kenny's age
Let = his sister's age
given:
(1)
(2)
---------------------
Substitute (1) into (2)
(2)
(2)
(2)
and
(1)
(1)
(1)
------------------
Kenny is 19
His sister is 12
-----------------
check:
(2)
(2)
(2)
OK
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