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Let the unit digit be X and ten 's digit be Y. So, original digit be ( X+10.Y) , And by reversing the digit we get (Y+10.x)
SO ACCORDING TO THE QUESTION
(X+10Y)+(Y+10X) = 66
=>11X+11Y = 66
=>11(X+Y) = 66
=>X+Y = 66/11
=>X+Y = 6 ------------------- 1 equation
And, since digits differ by 2
So, X-Y = 2 --------------- 2 equation
Adding 1 and 2 equations we get
2X = 8
=>X = 8/2
so, X = 4
And, putting value of X in equation 1
X + Y = 6
=>4+Y=6
=>Y=6 - 4 =2
HENCE The answer will be (YX) I.e,24
SO ACCORDING TO THE QUESTION
(X+10Y)+(Y+10X) = 66
=>11X+11Y = 66
=>11(X+Y) = 66
=>X+Y = 66/11
=>X+Y = 6 ------------------- 1 equation
And, since digits differ by 2
So, X-Y = 2 --------------- 2 equation
Adding 1 and 2 equations we get
2X = 8
=>X = 8/2
so, X = 4
And, putting value of X in equation 1
X + Y = 6
=>4+Y=6
=>Y=6 - 4 =2
HENCE The answer will be (YX) I.e,24
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