Question

in a two - digit number sum of digits is 10. If we add 36 in the number the digits are interchanged. Find the number?​

Answer 1

Answer:

3+7

Step-by-step explanation:

37+36 = 73

The digits are interchanged.

Answer 2

Answer :

The Number is 37

Step-by-step Explanation :

Given :1) In a two digit number sum of digits is 10.

2) If we add 36 in the number the digits are interchanged.

To find : The number = ?

Let xy be the number

then,

x + y = 10 ----------( according to given conditions)

9x+9y=90 ……….(1) ( multiplying whole equation by 9 )

Also,

36 + 10x + y = 10y + x -----( according to given conditions )

10x + y - 10y - x = -36

9x - 9y = -36 -----------(2)

now adding (1) and (2) we get,

18x = 54

So, x = 54/18 = 3

Substituting x = 3 in equation (1) We get,

9(3) + 9y = 90

9y = 90 - 27

y = 63/9

y=7

So the number is 37