If the sum of two consecutive numbers

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 $=46+1=47=93-46=93-x$

 

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