Question

Three consecutive integers add up to $51$. What are these integers?

Answer 1

Consecutive means an unbroken sequence or following continuously so that consecutive integers follow a sequence where each subsequent number is one more than the previous number. In a set of consecutive integers, mean and median are equal

Let the three consecutive integers be$x,x+1andx+2.$

As per the question

$x+(x+1)+(x+2)=51$

$\Rightarrow 3x+3=51$

$\Rightarrow 3x=51–3$

$\Rightarrow 3x=48$

$\Rightarrow x=48/3$

$\Rightarrow x=16$

Thus, the integers are

$x=16$

$x+1=17$

$x+2=18$

∴ The three consecutive integers are $16,17,and18$