Question

the sum of the digits of a two digit number is 7. the number obtained by interchanging the digits exceed the original number by 27. find the number.​

Answer 1

Answer:

52

Step-by-step explanation:

Let the two numbers are x and y.

x+y=7....eqn1

Now xy=10x + y

yx=10y+x

10x+y=10y+x+27

9x=9y+27

(x-y)=27/9

x-y =3..........eqn2

Add eqn 1 and 2 we get

2x=10

x=5

Put this in eqn 2

5-y=3

y=2

Hence the no. Is 52