In a 2 digit number, the sum of the digit is 9 .if the digits are reversed, the number is increased by 9.find the number.
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Explanation:
Sum of the digits of a 2-digit number is 9. When the digits are reversed, it is found that the resulting number is greater then the original number by 27. Find the number.
Answer
Let one's digit = x
And, ten's digit = y
Therefore, number is 10y+x.
According to the question,
x+y=9 ....(1)
Also,
10y+x+27=10x+y
x−y=3 ......(2)
Solving equation 1 & 2, we get,
x=6 and y=3.
Hence, the original number is 10y+x=36.
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