A number has two digits whose sum is 9. If 27 is added to the number, its digits get interchanged. Find the number.
Answers
Answered by
9
Let the number be xy
Sum of the digits= x+y = 9
The number is 10x+y
When 27 is added the digits get interchanged
10x+y+27=10y+x
9y-9x=27
9*(9-x)-9x=27
81-9x-9x=27
18x= 54
x=3
From eq 1
y=6
Hence number is 36
Sum of the digits= x+y = 9
The number is 10x+y
When 27 is added the digits get interchanged
10x+y+27=10y+x
9y-9x=27
9*(9-x)-9x=27
81-9x-9x=27
18x= 54
x=3
From eq 1
y=6
Hence number is 36
Similar questions