Let a, b and c be fractions, such that a < b < c. If c is divided by a, the result is 5/2, which exceeds b by 7/4. If a + b + c = 
, then (c – a) will be equal to ?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 ie 1/2.
c/a = 5/2
b = (5/2) - (7/4)
= 3/4
a + c = (23/12) - (9/12)
= 7/6 eq 1
Ratio of c : a = 5/2 = 5 + 2 = 7 parts
7 parts = 7/6 (from eq 1)
3 parts = 3/6 = 1/2