Question

A number is as much greater than $21$ as it is less than $71$. Find the number.

Answer 1

Let the number be $x$.

Let $x$ be $y$ units greater than $21$. Therefore,

$\Rightarrow x-21=y$

Let $x$ be $y$ less than $71$. Therefore,

$\Rightarrow 71-x=y$

Therefore, according to the question,

$\Rightarrow x-21=71-x$

$\Rightarrow x+x=71+21$

$\Rightarrow 2x=92$

$\Rightarrow x=\frac{92}{2}=46$

$\therefore x=46$