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 ?

A. 2 B. 3 C. 4 D. 6 Answer: Option A
Show Answer

Solution(By Apex Team)

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

Related Questions On Average

Ajit has a certain average for 9 innings. In the tenth innings, he scores 100 runs thereby increasing his average19 people went to a hotel for combine dinner party 13 by 8 runs. His new average is:

A. 20
B. 21
C. 28
D. 32
Show Answer

Find the average of all the numbers between 6 and 34 which are divisible by 5.

A. 18
B. 20
C. 24
D. 30
Show Answer

In a family, the average age of a father and a mother is 35 years. The average age of the father, mother and their only son is 27 years. What is the age of the son?

A. 10 years
B. 10.5 years
C. 11 years
D. 12 years
Show Answer

If the arithmetic mean of 0, 5, 4, 3 is a, that of -1, 0, 1, 5, 4, 3 is b and that of 5, 4, 3 is c, then the relation between a, b, and c is.

A. a = b = c
B. a : b : c = 3 : 2 : 4
C. 4a = 5b = c
D. a + b + c = 12
Show Answer

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