What is the answer

Question

The sum of the digits of a two-digit number is 11. If the digits are reversed, the new number is 27 more than the original number. What is the original number?

Answer 1

a + b = 11 ------> a = 11 - b

10b + a = 10a + b + 27 -----> -9a + 9b = 27

 

Substitute.

 

-9(11 - b) + 9b = 27

 

 

Solve for b, then plug your answer in for b in the first equation to find a.

 

a = the first digit and b = the 2nd