Question

Sum of the digits of a two digit number is 9 when we interchanged the digits it is found that the resulting new number is greater than the original number by 27. What is the two digit number linear equation in one variable

Answer 1

Answer:36

Step-by-step explanation:

Let the two digits be x and y

then x+y= 9 ------- (1)

By inter changing these digits it will be 10y+x

Then the difference of original number and inter changed digits will be

10y+x - (10x+y) = 27

9y+9x = 27

9(y-x)=27

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

By resolving equations (1) and (2) we will get

x = 3 and y = 6

Hence the original number is 36 and interchanged number is 63 . The difference between these two numbers is 27