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Jamil has eight times as many dimes as has nickles, and the value of the dimes is $3.75 more than the value of the nickels.
Suppose 5 points with integer coordinates are chosen at random from the xy-coordinate system. Show that the midpoint of a line segment that connects at least one pair of these points has integer coordinates.
The sum of two numbers is twenty-one. Three times the smaller number is two less than twice the larger number. Find the two numbers.
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