Question

If the sum of two consecutive numbers is $93$ and one of them is $x$, then the other number is $93–x$. State whether the statement is true $\left(T\right)$ or false $\left(F\right)$.

• A. True
• B. False

Answer 1

The correct option is A True

Find the other consecutive number to check if it is correct or not.

As we know that, Consecutive integers are integers that follow in sequence, each number being $1$ more than the previous number, represented by $n,n+1,n+2,n+3,...,$ where $n$ is any integer.

If one consecutive number is $x$ , then the next consecutive number would be $x+1$ .

From the given,

$\Rightarrow$ $x+x+1=93$

$\Rightarrow$ $2x=93-1$

$\Rightarrow$ $2x=92$

Divide each side by $2$.

$\Rightarrow$ $\frac{2x}{2}=\frac{92}{2}$

$\Rightarrow$ $x=46$

So, the other consecutive number is,

$\Rightarrow$ $46+1=47$

Now $93-x$

$=93-46$

$=47$

Hence, the given statement is True.