Question

The sum of two consecutive natural numbers is $23$. Numbers will be-

• A. $11$ and $12$
• B. $11$ and $14$
• C. $11$ and $16$
• D. $11$ and $18$

Answer 1

Answer: (A)

$11$ and $12$

Let the two consecutive natural numbers be $x$ and $x+1$
Now, according to the problem
$x+(x+1)=23$
$\Rightarrow$ $2x+1=23$
$\Rightarrow$ $2x=23-1$
$\Rightarrow$ $2x=22$
$\Rightarrow$ $x=\frac{22}{2}=11$
The one number is $11$
The next number is $x+1=11+1=12$
Hence the numbers are $11$ and $12$