<PRE><B>Question 536534</B>
Call the number xy.  x is the tens place, y is the ones place.&lt;P&gt;
Equation 1:  x = 1/2y -1 (the tens place of a two digit number is one less than half of the ones place)&lt;P&gt;
Equation 2:  8x=3y (three times the ones place is equal to 8 times the tens place)&lt;P&gt;
Two unknowns can be solved with two equations.  Set y in terms of x in equation two, then substitute that into equation 1.&lt;P&gt;
3y=8x&lt;P&gt;
Divide both sides by 3.&lt;P&gt;
y=8/3x&lt;P&gt;
x = 1/2(8/3x) - 1 &lt;P&gt;
x = 4/3 x - 1&lt;P&gt;
Subtract x from both sides.&lt;P&gt;
-1/3x = -1 &lt;P&gt;
Multiply both sides by -3.&lt;P&gt;
x = 3&lt;P&gt;
3y = 8(3) (From equation 2).  Divide both sides by 3.&lt;P&gt;
The number is 38
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