Question

sum of digits of a number is 6 if 36 is added to the number its digits are reversed determine the number

Answer 1

Hi friend,

Here is your answer,
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 Let the digits be x and y.
           x+y  =   6                  -----------------------( i )
10x+y +36  =  10y+x
            36   =  9y - 9x
          y - x  =  4                   -----------------------( ii )

( i ) + ( ii )
   2y = 10
     y = 5
     x = 1

The number is 15 .
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Answer 2

Let the ten's no be x
One's be y
Number=10x+y
A/Q
X+y=6
X=6-y (1)
10x+y+36=10y+x
10x-x+y-10y=-36
9x-9y=-36
9 (x-y)=-36
X-y=-4 (2)
6-y-y=-4
-2y=-4-6
-2y=-10
Y=5
Now put the value of y=5 in equation (2)
X-y=-4
X-5=-4
X=-4+5
X=1
number=10x+y
=10×1+5
=10+5=15