The difference between a two-digit number and the number obtained after interchanging the two digits of the two- digit number is 27.
The difference between a two-digit number and the number obtained after interchanging the two digits of the two- digit number is 27. The sum of the two digits of the two-digit number is 15. What is the two-digit number ?
(a) 87 (b) 96
(c) 69 (d) Cannot be determined
(e) None of these
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(d) Let the two digit nubmer be 10x + y, where x is the first digit and y the second digit.
(10x + y) – (10y + x) = 27
9x – 9y = 27
x – y = 3 ....(a)
also x + y = 15 ....(b)
x = 9 and y = 6
Required number is 96 or 69
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