The ratio of the sum of and the difference between two numbers is 6 : 5. Find the ratio of these two numbers.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 11 : 1.
Let the two numbers be a and b.
According to the question;
(a + b) : (a - b) = 6 : 5
⇒ 5a + 5b = 6a - 6b
⇒ 5a - 6a = - 6b - 5a
⇒ -a = -11b
⇒ a/b = 11/1
⇒ a : b = 11 : 1