Question

The sum of the digits of a two-digit number is 12. The number obtained by interchanging its digits exceeds the given number by 18. Find the number.

Medium

Solution

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Let us consider,
One's digit of a two digit number and 
Then's digit
So, the number is
By interchanging the digits,
One's digit and 
Ten's digit
Number is
As per the statement, 
.....(1)
....(2)
Adding (1) and (2), we have
or
On subtracting (1) from (2),
or
Answer:
number

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