Question

The sum of the digits of a two digit number is 11 . If 63 is subtracted from the number, the digit get interchanged. What is the number?
please don't use the linear equations method to answer the question .
explain in easy way.​

Answer 1

Answer:

92

Step-by-step explanation:

92-63=29

9+2=11

So their sum is 11 and the digits are interchanged too.

Answer 2

Let the digits of two digit no. be x and y

x + y = 11 (eqn. no. 1)

The two digit no. is (10x + y)

(10x + y) - 63 = (10y + x)

10x + y - 63 = 10y + x

10x - x + y - 10y = 63

9x - 9y = 63

x - y = 7 (eqn no. 2)

x = 7 + y

Putting the value of x in the eqn. no. 1

x + y = 11

7 + y + y = 11

2y = 11 - 7

2y = 4

y = 2

putting the value of y in the eqn. no. 1

x + y = 11

x + 2 = 11

x = 11 - 2

x = 9

Hence, the number is 92.