Sum of the digits of a two digit number is 12. If 18 is added to the original number then the digits are interchanged. Write the two Linear Equations representing the above situation.
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X+Y=12 .....1
10X +Y +18 = 10Y+X
Or,9X-9Y=-18
X-Y= -2.........2
Subtracting eq 2 from eq 1
X+Y=12
X-Y=-2
2X=10
X=5
Y=12-5=7
So original number is 10×5 +7= 57
10X +Y +18 = 10Y+X
Or,9X-9Y=-18
X-Y= -2.........2
Subtracting eq 2 from eq 1
X+Y=12
X-Y=-2
2X=10
X=5
Y=12-5=7
So original number is 10×5 +7= 57
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