Question

The sum of the digits of a 2-digit number is 7. The number obtained by interchanging
the digits exceeds the original number by 27. Find the number.

Answer 1

Let the digit at tens place be x

and at the unit place by y

So, number is (10x+y)

ATQ,

x + y = 7 ----------(1)

And

10y + x = 10x + y +27

=> 9y -9x = 27

=> y - x = 3 --------(2)

Solving equation (1) and (2)

We get

y = x + 3 ------------(3) [from equation 2]

Putting value of y in equation 1

x + (x + 3) = 7

=> 2x + 3 = 7

=> 2x = 4

=> x = 2

and

y = x + 3 = 2 + 3= 5

So, the number is 10x + y

= 10(2) + 5

= 20 + 5

= 25

Number is 25

Answer 2

Answer:

The no. Is 25

Step-by-step explanation: