The average of two numbers is 62. If 2 is added to the smaller number, the ratio between the numbers becomes 1 : 2. What is the smaller number?
Solution
Correct Answer: Option A
Let,
The numbers be x and y, x < y.
Then
x + y = 124 ................(1)
(x + 2)/y = 1/2
⇒ y = 2x + 4 ..................(2)
x + y = 124
⇒ x + 2x + 4 = 124
⇒ 3x = 120
∴ x = 40