A student finds the average of 10 positive integers

Asked by admin @ in Math viewed by 338 People

A student finds the average of 10

positive integers. Each integer contains twodigits. By mistake, the student interchangesthe digits of one number say ba for ab. Due tothis, the average becomes 1.8 less than theprevious one. What is the difference betweenthe two digits a and b?​

Answered by admin @


Answer:

2

Step-by-step explanation:

Let the original number be ab i.e., (10a + b). After interchanging the digits, the new number becomes ba i.e., (10b + a). ... Therefore, the sum of the original 10 numbers will be 10*1.8 more than the sum of the 10 numbers with the digits interchanged. i.e., 10a + b = 10b + a + 18, 9a - 9b = 18, a - b = 2.

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