Question

the sum of digits of a two digit number is 3.if 9is added to the numbers the digits are reverse.find the number

Answer 1

let the two digits of a number be x and y respectively
A.T.P
x+y=3.......... (i)

Now the number =10x+y
Therfore,
10x+y+9=10y+x
10x-x+y-10y= -9
9x-9y=-9
9 (x-y)= -9
x-y= -9/9
x-y= -1........ (ii)
therefore
Equating both the equations and the adding both equations, we get


x+y=3
x-y= -1

2x=2
x =2/2
x=1


Now using the value of x in eq.( i )
x+y=3
1+y=3
y=3-1
y=2

Hence the value of x is 1 and y is 2
Ans.