A student finds the average of 10, 2 – digit numbers. If the digits of one of

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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

Options:

A . 3

B . 2

C . 4

D . 5

Answer: Option C
Answer: (c)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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