Question

${\frac{2}{3}}^{rd}$ of a number when multiplied by ${\frac{3}{4}}^{rd}$ of the same number makes 648. The number is

• A. $18$
• B. $24$
• C. $36$
• D. $26$

Answer 1

Answer: (C)

$36$

Let the number is $x$.
According to the given condition,
$\frac{2x}{3}\times \frac{3x}{4}=648⟹\frac{x^2}{2}=648⟹x^2=1296⟹x=\pm 36⟹x=36$
Hence, the required number is $36$.