Question

If a 3 digits number the difference of hundred digit and units digit is 5. Find the quotient when difference 3 digit number and number obtained by reversing the digit is divided by 9

Answer 1

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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