Question

sum of three fractions is 2 11/24. If the ratio of the largest and the smallest fraction is 7:6 and this ratio is 1/3 more than the middle fraction, then the fractions are ?

Answer 1

Let the fractions be x, y,z where x is smaller and y is greater then
x+y+z=2 11/4-----equation (1)
Also,
z:x=7:6 -------(2)
Given
7:6=y 1/3
It will be-
7/6=y/3
21=6y
Y=21/6=7/2
x+7/2+z=2 11/4
2x+2z=19/4-7/2
2(x+z)=19/4-14/4
x+z=5/4×2
x+z=5/8
x=5/8-z
Substituting in (2),
z:5/8-z=7:6
Z×6=7(5/8-z)
6z=35/8-7z
35/8=7z+6z
13z=35/8
Z=35/8×13
Z=35/104
X=5/8-35/104
X=65/104-35/104
X=30/104
X=15/52
Hope tis ans. Is helpful and gives u some idea!!!
But not sure abt z
Cross check the calculation part