Question

$\frac{3}{5}$th of a number subtracted from $\frac{3}{4}$th of that number gives $18$. Find the number.

• A. $110$
• B. $100$
• C. $120$
• D. None of the above.

Answer 1

Answer: (C)

$120$

Let the required number be $x$.

According to the question: $\frac{3}{4}x-\frac{3}{5}x=18$

$⟹\frac{3x\times 5-3x\times 4}{20}=18$

$⟹15x-12x=18\times 20$

$⟹3x=18\times 20$

$⟹x=6\times 20$

$\therefore x=120$