The ratio between two given numbers is 9 : 7. If each number is increased by 6, then the ratio becomes 21 : 17. What is the difference between the two given numbers?
Answer & explanation
Correct answer: option 3
A : B
9 : 7
After increasing both numbers by 6, the ratio becomes,
A : B
21 : 17
To compare both of them, we multiply initial ratio with 2,
(9 : 7) x 2= 18 : 14
⇒ Difference between final and initial a = 21 - 18 = 3 units = 6
⇒ 1 unit = 2,
⇒ The difference between the two given numbers = 21 - 17 = 4 x 2 = 8.