Math Word Problem

Question

The age of two brothers can be represented as consecutive even integers. Twelve years ago, the sum of their ages was 10. How old is each now?
a. 10,12
b. 14,16
c. 12,14
d. 16, 18

Answer 1

Let x = younger brother's age

x + 2 = older brother's age

 

12 years ago younger brother was

x-12 years old and older was 

x+2-12 = x-10 years old

 

(x - 12) + (x - 10) = 10

2x - 22 = 10

 

Fimish solving for x to find younger

brother's age.

Then x+2 is older brother's age