Question

A number has two digits whose sum is 9. if 37 is subtracted grom it, its digits are interchanged. Find the Number.​

Answer 1

Step-by-step explanation:

let the number be xy

therefore it can be written as 10x+y

x+y=9...i

10x+y-37=10y+x

10x-x+y-10y=37

9x-9y=37..ii

substituting the value of x in equation..i

x=9-y

using it in equation...ii

9(9-y)-9y=37

81-9y-9y=37

-18y=37-81

y=-44/-18

y=2.4

therefore x=9-2.4

x=6.6

therefore the number is=10x+y

10*6.6+2.4

66+2.4

68.4