A student finds the average of ten 2 digits numbers While…

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A student finds the average of ten 2 digits numbers. While copying numbers, by mistake, he writes in number with its digits interchanged. As a result his answer is 1.8 less than the correct answer. The difference of digits of the number, in which he made mistake is ?

  1. A. 2
  2. B. 3
  3. C. 4
  4. D. 6

Answer: Option A

Here is complete explanation of A student finds the average of ten 2 digits numbers While….

Solution(By ExamCraze Team)

Let us consider by mistake he writes 10th number with its digits interchanged.
$$therefore frac{{10x + y - left( {10y + x} right)}}{{10}} = 18$$
(In this remaining nine numbers are same and they cancel out)
∴ 10x + y - 10y - x = 18
⇒ 9x - 9y = 18
⇒ x - y = 2

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