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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). 8/92). 7/103). 7/84). 6/11 |
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Answer» 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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