1.

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

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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