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  1. The average of two numbers is 62. If 2 is added to the smallest number, the ratio between the numbers becomes 1 : 2. The difference of the numbers is
    1. 62
    2. 40
    3. 84
    4. 44
Correct Option: D

Average of two no's = 62
∴  Sum of the numbers
= 62 × 2 = 124
Sum of the numbers = 124
If the larger number be x, then
smaller number = 124 – x

∴  
124 − x + 2
=
1
x2

⇒  252 – 2x = x
⇒  3x = 252 ⇒ x = 84
∴  Smaller number = 124 – 84 = 40
∴  Difference = 84 – 40 = 44



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