Question
A number consists of two digits. The sum of the digits is 9. If 63 is subtracted
from the number, its digits are interchanged. Find the number.
A number consists of two digits. The sum of the digits is 9. If 63 is subtracted
from the number, its digits are interchanged. Find the number.
Answer: Option C
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Let the ten's digit be x. Then, unit's digit = (9 - x).
Number = l0x + (9 - x) =9x + 9.
Number obtained by reversing the digits = 10 (9 - x) + x = 90 - 9x.
therefore, (9x + 9) - 63 = 90 -9x↔18x=144↔x=8.
So,ten's digit = 8 and unit's digit = 1.
Hence, the required number is 81.
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