# The sum of the digits of a two-digit numeral is 8. If the digits are reversed, the new number is 18 greater than the original number. How do you find the original numeral?

##### 1 Answer

Apr 16, 2016

Solve equations in the digits to find the original number was

#### Explanation:

Suppose the original digits are

#{ (a+b=8), ((10b+a)-(10a+b) = 18) :}#

The second equation simplifies to:

#9(b-a) = 18#

Hence:

#b = a+2#

Substituting this in the first equation we get:

#a+a+2 = 8#

Hence