Question

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.

Answer 1

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Answer 2

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