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A fraction becomes 6/5 when 5 is added to its numerator and becomes 1/2 when 4 is added to its denominator. What will be the value of the fraction?

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A fraction becomes 6/5 when 5 is added to its numerator and becomes 1/2 when 4 is added to its denominator. What will be the value of the fraction?
1). 8/9
2). 7/10
3). 7/8
4). 6/11


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1 answers

3 vote
Answered by on | Votes 3 |

Let the fraction be a/b, From the questions statement

⇒ (a­ + 5)/b = 6/5

⇒ (5a + 25)/6 = b… (i)

When 4 is added to its denominator

⇒ a/(b + 4) = 1/2

⇒ 2a = b + 4 Using (i)

⇒ 2a = (5a + 25)/6 + 4

⇒ 7a = 49

⇒ a = 7 Put this in (i)

⇒ b = (5 × 7 + 25)/6

⇒ b = 10

∴ the fraction is 7/10

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