The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number?
Choose one.
A) 93
B) 39
C) 75
D) 48
E) Either (a) or (b)
Let the two-digit number be 10a + b   a + b = 12 --- (1)   If a&gt;b, a - b = 6   If b&gt;a, b - a = 6   If a - b = 6, adding it to equation (1), we get   2a = 18 =&gt; a =9   so b = 12 - a = 3   Number would be 93.   if b - a = 6, adding it to the equation (1), we get   2b = 18 =&gt; b = 9   a = 12 - b = 3.   Number would be 39.   There fore, Number would be 39 or 93.   Either (a) or (b)
<result>E</result>
The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number?