The digits of a two digit number are in the ratio of 2 3 and the number obtained by interchanging th...........

Quant (SSC) Number System

The digits of a two-digit number are in the ratio of 2 : 3 and the number obtained by interchanging the digits is bigger than the original number by 27.What is the original number?

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Explanation:

Let's digit at tens and ones place be 2x and 3x
So,number is 2x*10 + 3x
After interchanging number will be 3x*10 +2x
so, [3x*10 +2x] – [2x*10 + 3x]27
we get,x=3
so number =69