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Q.

The numerator of a fraction is 4 less than the denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator is eight times the numerator. The fraction is also written as ${"mathml":"<math class="image_resized" style="width:24px;height:32px"><span style="font-family:$ . What is the value of m?

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a

6

b

10

c

9

d

15

answer is A.(Unlock A.I Detailed Solution for FREE)

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Detailed Solution

Concept- Here by reading the question we get the idea of forming a linear equation of the given sum and solving it.Let us consider the numerator as x and denominator as y.According to the questionCase 1: ${"mathml":"<math class="image_resized" style="width:152px;height:40px"><span style="font-family:$ Case 2: ${"mathml":"<math class="image_resized" style="width:168px;height:40px"><span style="font-family:$ from(1) ${"mathml":"<math class="image_resized" style="width:120px;height:94px"><span style="font-family:$ From (1)

x = y − 4 ⇒ 3 ∴ F r a c t i o n = x y = 37

According to question fraction is of the form

m 14

= 37 × 22 = 614 ⇔ m 14 ∴ m = 6 x = y − 4 ⇒ 3

Therefore, fraction

= x y = 37

Hence, the correct answer is option 1.

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The numerator of a fraction is 4 less than the denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator is eight times the numerator. The fraction is also written as . What is the value of m?