Question:
If the sum of two consecutive numbers is 93 and one of them is x, then the other number is 93 – x.
Solution:
True
Given, one of the consecutive number = x
Then, the next consecutive number = x + 1
According to the question,
$x+x+1=93$
$\Rightarrow$ $2 x=93-1$ [transposing 1 to RHS]
$\Rightarrow \quad 2 x=92$
$\Rightarrow$ $\frac{2 x}{2}=\frac{92}{2}$ [dividing both sides by 2]
$\therefore$ $x=46$
Hence, the other consecutive number $=46+1=47=93-46=93-x$