Question 14

The value of g + 100 is 150.

To find the value of g + 100, we first need to determine the value of g. Given that the average of g and 100 is 75, we can set up the equation: (g + 100) / 2 = 75. Solving for g gives us g = 150, so g + 100 equals 150.

A) 50

This option is incorrect because if g + 100 were 50, then g would be -50. Substituting -50 back into the average calculation results in an average far below 75, which contradicts the given information.

B) 125

This option is also incorrect. If g + 100 were 125, then g would be 25. The average of 25 and 100 would yield 62.5, which does not match the required average of 75.

C) 150

This is the correct option. If g + 100 equals 150, then g would be 50. The average of 50 and 100 is calculated as (50 + 100) / 2 = 75, which aligns perfectly with the problem's condition.

D) 175

This option is incorrect as well. If g + 100 were 175, then g would be 75. The average of 75 and 100 is 87.5, clearly not matching the average of 75 stated in the question.

Conclusion

The correct answer is 150, as it correctly represents g + 100 when the average of g and 100 is 75. All other options fail to satisfy the average condition, demonstrating they are not valid solutions. Thus, option C is definitively the right choice.