SSC CGL 19 Oct 2014 Shift 2 Paper

Question : 114 of 200

Marks: +1, -0

A student finds the average of 10, 2 – digit numbers. If the digits of one of the numbers is interchanged, the average increases by 3.6. The difference between the digits of the 2-digit numbers is

Validate

Solution:

Total increase = 3.6 × 10 = 36
∴ If the number be 10x + y,
then
Number obtained after reversing the digits = 10y + x
∴ 10y + x – 10x – y = 36
⇒ 9y – 9x = 36
⇒ 9 (y – x) = 36
⇒ y – x =

{36}/9

= 4

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