the sum of the two-digit number is 6. the number obtained by interchanging its digit is 18 more than the original number. find the original number.
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Step-by-step explanation:
let the two digit number be 10x + y
x + y = 6
given that number obtained by reversing digits is 18 more that O.N
10 y + x = 10x + y + 18
10y - y -10x + x = 18
9y - 9x = 18
multiply the first equation with 9 and add the two equations to solve simultaneously
9x + 9y = 54
-9x + 9y = 18
then => 18y = 72 , y= 4
then on substituiting y value in first equation you get x=2
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