Question:The sum of three fraction is `2 11/24`.When the largest fraction is divided by the smallest, the fraction thus obtained is `7/6` which is `1/3` more than the middle one. The fractions are :
A `3/5,4/7,2/3`
B `7/8,5/6,3/4`
C `7/9,2/3,3/5`
D None of these
+ ExplanationLet largest fraction be x and smallest be y.
Then` x/y = 7/6`
`or y = 6/7 x`
Let the middle one be z
Then,` x + 6/7 x + z = 59/24`
`:. z = (59/24 - (13x)/7)`
`:. 59/24 - (13x)/7 + 1/3 = 7/6`
`or (13x)/7 = 59/24 + 1/3 - 7/6`
`= (59 + 8 - 28)/24`
`= (13x)/7 = 39/24`
`or x = (39/24 xx 7/13) = 7/8`
`:. x = 7/8, y = 6/7 xx 7/8= 3/4 `
`& z = 59/24 - 13/7 xx 7/8`
`= 20/24`
`= 5/6`
:. Fraction are `7/8,5/6,3/4`
