<PRE><B>Question 1140726</B>
&lt;br&gt;
(1) Using logical reasoning....&lt;br&gt;
The number is 1 more than 5 times the sum of its digits.
That means the last digit of the number (the units digit) is either 1 or 6.
Since the units digit is 1 more than the tens digit, the units digit can&#39;t be 1.
So the units digit is 6; that means the tens digit is 5.&lt;br&gt;
ANSWER: 56&lt;br&gt;
(2) Using algebra (good practice in solving problems using algebra; but much slower)....&lt;br&gt;
Let the tens digit be x
Then the units digit is x+1&lt;br&gt;
The sum of the digits is x+(x+1) = 2x+1&lt;br&gt;
The number itself is 10(x)+(x+1) = 11x+1&lt;br&gt;
The number itself is 1 more than 5 times the sum of the digits:&lt;br&gt;
{{{11x+1 = 5(2x+1)+1}}}
{{{11x+1 = 10x+6}}}
{{{x = 5}}}&lt;br&gt;
ANSWER: The tens digit is x=5; the units digit is x+1 = 6; the number is 56.</PRE>