Bernita and Derek each plot a number on a number line. The numbers are unique but have the same absolute value. The sum of the absolute values of the numbers is 150. What are the two numbers?

The numbers are unique and have the same absolute value, so they must be opposites: one is negative and the other positive. Their absolute values add to 150, so each absolute value is 150 ÷ 2 = 75. The two numbers are −75 and 75, which is choice B.

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