Question

If a number, when divided by $4$, is reduced by $21$, the number is:

• A. $18$
• B. $20$
• C. $28$
• D. $38$

Answer 1

The correct option is C $28$

Let $x$ be the number.

If a number is divided by the $4$ the expression becomes $\frac{x}{4}$

If a number, when divided by $4$, is reduced by $21$, then the equation is

$\frac{x}{4}=x-21$

$\Rightarrow \frac{x}{4}-x=-21$

$\Rightarrow \frac{x-4x}{4}=-21$

$\Rightarrow -3x=-21\times 4$

$\Rightarrow x=\frac{21}{3}\times 4=7\times 4=28$

$\therefore$,the number is $28$