Let x represent the youngest brother

Middle brother:x+1

Oldest brother:x+2

Total:x+x+1+x+2=96

3x+3=96

3x=93

x=<<31=31>>31 years old

# Answer

31
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
The ages of three brothers are consecutive integers with the sum of 96.  How old is the youngest brother?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
31
The ages of three brothers are consecutive integers with the sum of 96.  How old is the youngest brother?
train