The ratio of two numbers is 5 : 9. If 6 is added to the greater number and 6 is subtracted from smaller number, then greater number becomes 6 times the smaller number. What are the numbers?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 10 and 18.
Let the numbers be 5x and 9x
When 6 is subtracted from the smaller number and 6 is added to the larger number the number becomes = 5x - 6 and 9x + 6 respectively
According to the question
6(5x - 6) = 9x + 6
⇒ 30x - 36 = 9x + 6
⇒ 21x = 42
⇒ x = 2
Hence the numbers are 10 and 18.