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The sum of the digits of a two digit positive integer is 15 , when the digits are reversed the number is 27 more than the original number . what was the original number?

 Jul 8, 2021
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x+y = 15       y = 15 -x

 

10y + x  = 27 + 10x + y       sub in red equation for y

 

10(15-x) + x = 27 + 10x + 15-x

 

150-10x+x     = 27 +10x+15-x

108 = 18x       x = 6     then y =9

 Jul 8, 2021

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