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Question

Amit has a problem while reading the board when he he asked his teacher what is tens digit number of the 2 digit number . she replied the number i have written is such that if you add the number and twice the tens digit to it you get the answer which is equal to number written with digit reversed and twice of unit digit added to it Amit could read the unit number that was 5 the tens digit.

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Solution

Answer :

Let tens digit = x
And
Unit digit = 5
So,
Our number = 10x + 5
And
From given information we get

10x + 5 + 2x = 10 ( 5 ) + x + 2 ( 5 )

12x + 5 = 50 + x + 10

11x = 55

x = 5

So,

Our number = 10 ( 5 ) + 5 = 50 + 5 = 55 ( Ans )

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