Answer:
The age of the oldest brother must be greater than 21 years
Step-by-step explanation:
Let
x, x+1 and x+2 -----> the ages of the brothers
we know that
The sum of their ages must be greater than 60
so
The inequality that represent this situation is
\(x+(x+1)+(x+2) > 60\)
Solve for x
Combine like terms
\(3x+3 > 60\)
Subtract 3 both sides
\(3x > 60-3\)
\(3x > 57\)
Divide by 3 both sides
\(x > 19\)
so
if \(x > 19\)
\(x+1 >20\ years\\x+2 > 21\ years\)
therefore
The age of the oldest brother must be greater than 21 years
