In a 3 digit number, the difference of hundred's digit and unit's digit is 5. Find the quotient when difference of 3-digit number and number obtained by reversing the digits is divided by 9
Answers
Given : a 3 digit number, the difference of hundred's digit and unit's digit is 5
To find : the quotient when difference of 3-digit number and number obtained by reversing the digits is divided by 9
Solution:
3 digit number ABC
A - C = 5
Reversed number CBA
ABC Value = 100A + 10B + C
CBA Value = 100C + 10B + A
Difference = 100A + 10B + C - (100C + 10B + A)
= 100(A - C) + C - A
= 100(A-C) -(A -C)
= 99(A-C)
= 99 * 5
= 9 * 11 * 5
= 9 * 55
divided by 9 Hence Quotient = 55
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