Question 1132874
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Let the smaller number be x and the larger number be y.  Then the given information tells us the two are related by<br>
{{{y = 4x-5}}}<br>
Since the larger number y is to be between 15 and 55,<br>
{{{15 <= 4x-5 <= 55}}}
{{{20 <= 4x <= 60}}}
{{{5 <= x <= 15}}}<br>
ANSWER: The difference between the largest and smallest possible values for the smaller number, x, is 15-5 = 10.