Question

In a two digit number, digit at the ten's place is twice the digit at unit's place. If the number obtained by interchanging the digit is added to the original number, if the sum is . Find the number.

Medium
Solution
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Let the tens digit be and the units digit be .

So the number


After interchanging the digits we get


Also,







From equation

So,




And

Substitute in

We get, 

Number

Hence the number is .

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