Question : If $\sqrt{1+\frac{x}{144}} = \frac{13}{12}$, then $x$ equals to:
Option 1: 1
Option 2: 13
Option 3: 27
Option 4: 25
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Answer (1)
24th Jan, 2024
Correct Answer: 25
Solution :
Given: $\sqrt{1+\frac{x}{144}} = \frac{13}{12}$
Squaring both sides, we get
⇒ ${1+\frac{x}{144}} = \frac{169}{144}$
⇒ ${\frac{144+x}{144}} = \frac{169}{144}$
⇒ $144 + x = 169$
$\therefore x = 25$
Hence, the correct answer is 25.
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