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The sum of the digits of a two-digit nunber is 7. When you reverse the digits of the original number the new number is 27 more than the orginal number. What is the value of the original number?

 Jul 24, 2021

Best Answer 

 #1
avatar+34380 
+2

Number is xy

 

x+y = 7     or y = 7-x

 

10x + y   +27 = 10y + x

 

10 x  + ( 7-x) + 27 = 10(7-x) + x

 

9x + 34= 70 -9x

18x = 36

x = 2    then y = 5    

 

25

 Jul 24, 2021
 #1
avatar+34380 
+2
Best Answer

Number is xy

 

x+y = 7     or y = 7-x

 

10x + y   +27 = 10y + x

 

10 x  + ( 7-x) + 27 = 10(7-x) + x

 

9x + 34= 70 -9x

18x = 36

x = 2    then y = 5    

 

25

ElectricPavlov Jul 24, 2021

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