Problema Solution
the sum of the digits of a two number is 9. if the digits are reversed, the new number is 27 greater than the orginal number. find the orginal number.
Answer provided by our tutors
We assume that the number we need to find is two digit number.
Let 'x' represent units and 'y' represent the tens.
The the number can be written as 10y + x while the reversed number is 10x + y.
The sum of the digits is 9 means:
x + y = 9
The reversed number is greater than the original number by 27:
10x + y = 27 + 10y + x
We have the following system of equations:
x + y = 9
10x + y = 27 + 10y + x
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click here to see the system of equations solved for x and y
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x = 6
y = 3
10*3 + 6 = 36
The original number is 36.