The sum of the digits in a two digit number is 10. if the digits are reversed, the new number will be 54 more than the original number. What is the original number?
1 Answer
Apr 10, 2016
Explanation:
Suppose the digits are
The original number is
The reversed number is
We are given:
#a+b = 10#
#(a+10b) - (10a+b) = 54#
From the second of these equations we have:
#54 = 9b - 9a = 9(b-a)#
Hence
Substituting this expression for
#a+a+6 = 10#
Hence