Question

the sum of the digits in a two digit number is 9. The number formed by reversing the digits is 45 more than the original number. Find the original number

Answer 1

Answer:

36

Step-by-step explanation:

Let the two digits be X and Y

then X + Y = 9 ….. equation 1

By inter changing these digits it will be 10 Y + X

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

10 Y + X - ( 10 X + Y ) = 27

9 Y - 9 X = 27 or 9 ( Y - X ) = 27

Then Y - X = 3 ……. equation 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

Answer 2

Answer:

10x+y =9 ------(1)

10y-x =45 +10x+y

45= -11x +9y ------(2)

by subtracting the equation we get ,

10x +y =9 --(×9)

-11x +9y =45

_________

90x+9y =90

11x -9y =45

subtract this then u will get the answer