The ratio of two numbers x and y is 4 : 7. If 6 is added to x and 7 is subtracted from y, then their ratio becomes 3 ∶ 4. What is the difference between x and y?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 27
The ratio of two numbers x and y = 4k : 7k
ATQ,
(4k + 6)/(7k - 7) = 3/4
16k + 24 = 21k - 21
k = 9
DIfference = (7k - 4k) = 3k = 2 × 9 = 27