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The sum of the digits in a two digit number is 11 If we interchange the digits in the number we obtain a new number is 27 less than the orig

The sum of the digits in a two digit number is 11 If we interchange the digits in the number we obtain a new number is 27 less than the original Fint the number

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Total answers/comments: 1
Guest [Entry]

"Let xy be the original 2 digit number

x + y = 11 ------ y = 11 - x

yx = xy - 27
10y + x = 10x + y - 27
10y - y + x - 10x = - 27
9y - 9x = - 27

divide by -9

x - y = 3
11 - y - y = 27
-2y = 3 - 11
-2y = -8
y = 4 then the value of x is
x = 7

7 and 4 are the numbers

To check

47 = 74 - 27
47 = 47"