A number consists of two digits whose sum is 9. IF 27 is added to then number, the digits change their places. Find the number.
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Answer:
36
Step-by-step explanation:
Let the units digit be x.
Tens digit = 9-x
Original number = 10(9-x)+x = 90-10x+x = 90-9x
After changing digits,
Units digit = 9-x
Tens digit = x
New number = 10x+9-x = 9x+9
According to Question,
90-9x+27 = 9x+9
=> 117-9x = 9x+9
=> 117-9 = 9x+9x
=> 18x = 108
=> x = 6
Units digit = 6
Tens digit = 3
Hence, the original number is 36.
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