Question

The sum of the digits of a two-digit number is 9. If the digits are interchanged the number
stained exceeds the original number by 27. Find the number​

Answer 1

Answer:

thus the digit is 36

Step-by-step explanation:

let first digit of number be x

second digit of number be y

Given,

sum of two digits of the number is =9

if we interchange the digits position then it is less than =27

according to question,

10y + x = 10x + y + 27

10y - y + x- 10x = 27

9y - 9x = 27

y-x = 3.

x-y= -3 ( taking 9 as common from both the sides) ( equation I)

x+y = 9 ( equation II)

By adding both the equations

x-y = -3

x+y =9

2x = 6

x = 3

by putting value of x on equation II

3+ y = 9

y =9-3

y= 6