# Difference between a two digit no and the number obtained by interchanging digits is 54.which of the following could not be the sum of the digits of the number? 1.) 6 2) 8 3) 10 4) 12 5) 14

1
by ekalavyaachanta

2015-05-18T12:09:03+05:30

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Let the number be
Number obtained by interchanging digits is

Take the difference and set it equal to

Notice that gives , then the possible maximum sum of digits is .

So sum of the digits =  is never possible as .

why did u take 9+3 instead of 8+2
good question, whats the maximum value of "a" ?
possible maximum sum means here u take digits 0 to 9 among these digits 9 is the big one n maximum am i right what is the logic here could u pls help me out of this qn
thats right, you can never get a sum greater than 12 as the maximum possible sum is 12