SOLUTION: David is 3 years older than his brother. They have a combined age of 23. how old is David. a. 7 b. 10 c. 13 d. 16

SOLUTION: David is 3 years older than his brother. They have a combined age of 23. how old is David. a. 7 b. 10 c. 13 d. 16

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Question 661033: David is 3 years older than his brother. They have a combined age of 23. how old is David.
a. 7
b. 10
c. 13
d. 16
Answer by colliefan(242) (Show Source): You can put this solution on YOUR website!
Write as an algebraic equation.
brother's age = x
David's age = x+3
The sum is 23 so:
x+(x+3)=23
2x+3=23
2x+3-3=23-3
2x+0=20
2x=20
2x*1/2=20*1/2
x*1=10
x=10
Check to see if 10 and 13 are solutions. 10+13 is 23.
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