\(\frac{7}{4}\)^th of a number is 36 more than the number itself. The number is:

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MPPGCL JE Electrical 19 March 2019 Shift 2 Official Paper

Answer 1

Given:

\(\dfrac{7}{4}\) of a number is 36 more than the number itself.

Formula used:

\(\dfrac{7}{4}x = x + 36 \)

Calculation:

\(\dfrac{7}{4}x = x + 36 \)

⇒ \(\dfrac{7x}{4} - x = 36\)

⇒ \(\dfrac{7x - 4x}{4} = 36\)

⇒ \(\dfrac{3x}{4} = 36\)

⇒ 3x = 36 × 4

⇒ 3x = 144

⇒ x = 144 ÷ 3

⇒ x = 48

∴ The correct answer is 48.

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