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Answer:
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Answer:
The two-digit number is 36.
Step-by-step explanation:
Let, the digit in the unit’s place be y and the digit in the ten’s place be x.
Then, the number will be = 10x + y
Case I : Sum of the digits Is 9
x + y = 9 ————————(i)
Case II : interchange the digits, it is found that the resulting new number is
greater than the original number by 27
10y + x = 27 + 10x + y
—> x - y = - 3 ————————(ii)
Adding equation (i) + (ii)
2x = 6
x = 3
putting x = 3 in equation (i)
3 + y = 9
y = 6
Therefore, x = 3 and y = 6
Hence, the two digit number is 10x + y = 30 + 6 = 36