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
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