A two digit number is greater than the sum of the number in the ten digits and the number in the individual digits. 9. If you exchange the number in the ten digits and the number in the individual digits The obtained two digits are 27 larger than the original two digits. Find the two digits

Let ten digits be x and one digit be y
Then the two digit is y + 10x, and the exchange of two digits is 10Y + X
According to the meaning of the title, we can get
y+10x=x+y+9
10y+x=y+10x+27
By solving this system of equations, we can get
x=1
y=4
This two digit number is 14

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