Question

${\left(\frac{2}{3}\right)}^{rd}$ of a number when multiplied by $\frac{3}{4}$ of the same number make $338$. The number is ___________.

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

Answer 1

Answer: (D)

$26$

Let the number is $x$

Thus according to given problem, we have

$\frac{2}{3}x\times \frac{3}{4}x=338$

$x^2=338\times 2$

$x^2=676={26}^2$

$x=26$

Therefore, the number is $26$.