Question

Six more than one-fourth of a number is two-fifth of the number. Find the number.

• A. $40$
• B. $35$
• C. $25$
• D. $45$

Answer 1

The correct option is A $40$

Let the number be $x$

From the question, we have

$6+\frac{1}{4}x=\frac{2}{5}x$

$\Rightarrow 6+\frac{x}{4}=\frac{2x}{5}$

L.C.M. of $4$ and $5$ is $20$

$\Rightarrow 120+5x=8x$

$\Rightarrow 3x=120$

$\Rightarrow x=40$

Therefore, the number is $40$.