2
algebra

If x+52=100x + 52 = 100, what is the value of xx?

A

52

B

48

C

152

D

1.92

Correct Answer: B

Choice Choice B is the correct answer. Working with the nice round number 100 makes this calculation straightforward.

  1. Start with the equation: x+52=100x + 52 = 100
  2. Subtract 52 from both sides: x=10052x = 100 - 52
  3. Calculate: x=48x = 48
  4. Verify: 48+52=10048 + 52 = 100

💡 Complementary Numbers: Notice that 48 and 52 are complements—they add up to 100. This is a useful mental math skill.

Choice Choice B is incorrect because this results from adding instead of subtracting: 100+52=152100 + 52 = 152. We need to undo the addition, not add more.

Choice Choice A is incorrect because this confuses the constant term (52) with the solution. The number being added to xx is not the value of xx itself.

Choice Choice D is incorrect because this results from dividing: 100521.92\frac{100}{52} \approx 1.92. Division is not the appropriate operation for this addition equation.