Question

One fourth of a number added to two-seventh of it gives $135$.Find the number.

Answer 1

Let the required number$=x$

$\therefore$According to the sum,

$\frac{x}{4}+\frac{2x}{7}=135$

$\Rightarrow \frac{7x+8x}{28}=135$ Since L.C.M of $4,7=28$

$\Rightarrow \frac{15x}{20}=135$

$\Rightarrow x=\frac{135\times 28}{15}=9\times 28=252$

$\therefore$ Required number$=252$