Question

If $\sqrt{1+\frac{x}{169}}=1\frac{1}{13}$ then $x$ is equal to ?

• A. $1$
• B. $13$
• C. $27$
• D. $32$

Answer 1

Answer: (C)

$27$

$\sqrt{1+\frac{x}{169}}=1\frac{1}{13}$
$\sqrt{\frac{169+x}{169}}=\frac{14}{13}$
$\frac{\sqrt{169+x}}{13}=\frac{14}{13}$
$169+x=196$
$x=27$