A student finds the average of 10 2 digits numbers If…

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

  1. A. 4
  2. B. 3
  3. C. 2
  4. D. 5

Answer: Option A

Here is complete explanation of A student finds the average of 10 2 digits numbers If….

Solution(By ExamCraze Team)

According to the question,
Let as consider by mistake he writes 10th number with its digits interchanged
∴ $$frac{{10x + y - left( {10y + x} right)}}{{10}} = 3.6$$
∴ In these remaining nine numbers are same and they cancel out
$$eqalign{ & Rightarrow frac{{10x + y - left( {10y + x} right)}}{{10}} = 3.6 cr & Rightarrow 9x - 9y = 36 cr & Rightarrow x - y = 4 cr} $$

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