Mr Shah calculated the average of 10 three digit numbers by mistake he reverse the digits of one - Maths - Linear Equations in One Variable

Question

Mr Shah calculated the average of 10 three digit numbers ​by
mistake he reverse the digits of one of the numbers and thus is
average increased by 19 8 ​the difference between the units
digit and the hundreds digit of that number is ?

Lovina Kansal · Accepted Answer

Dear student
Since the average increased by 19
8 and there were a total of 10 numbers,it means the incorrect number was 19
8×10=198 greater than the correct number
Let the correct number was abc where a,b, and c are the digits of the 3 digit numberThen the incorrect number was cba
So, 100c+10b+a-100a+10b+c=198⇒99c-99a=198⇒99c-a=198⇒c-a=2
Regards

Mr Shah calculated the average of 10 three digit numbers . ​by mistake he reverse the digits of one of the numbers and thus is average increased by 19.8 . ​the difference between the units digit and the hundreds digit of that number is ?

Mr Shah calculated the average of 10 three digit numbers . by mistake he reverse the digits of one of the numbers and thus is average increased by 19.8 . the difference between the units digit and the hundreds digit of that number is ?