Question

The sum of three consecutive numbers is 30. Find the three numbers.

• A. 8, 9, and 10
• B. 9, 10, and 11
• C. 8, 10, and 12
• D. 7, 10, and 13

Answer 1

The correct option is B 9, 10, and 11

Let the first number be $x.$
The two consecutive numbers will be
$x+1$ and $x+2.$
Given, sum of the three consecutive numbers $=30$
$x+(x+1)+(x+2)=30$
$\Rightarrow 3x+3=30$
$\Rightarrow 3x=30-3$
$\Rightarrow 3x=27$
$\Rightarrow x=\frac{27}{9}$
$\Rightarrow x=9$
Hence, the next two consecutive numbers $=x+1,x+2$
$=9+1,9+2$
$=10,11$