Question

sum of the digit of two digit no is 9 when we interchange the digit it is found the resulting new no is greater then the original no by 27.what is the two digit no

Answer 1

Let,
The numbers be x and y.
The number=10x+y

A. T. Q.
x+y=9. ......(1)

A. T. 2.Q.
10x+y=10y+x+27
10x+y-10y-x=27
9x-9y=27
Divide by 9 to b. s.
x-y=3. .......(2)

Equation(1) + Equation(2)
x+y=9
+x-y=3
————
2x. =12
x=12/2
x=6

Put, x=6 in equation (2)
x-y=3
6-y=3
-y=3-6
y=3

Therefore, the required no. is x=6 and y=3.