8
algebra

The sum of two numbers is 25. One number is 5 more than the other. What is the smaller number?

A

15

B

10

C

5

D

12.5

Correct Answer: B

Choice Choice B is the correct answer.

  1. Define: x,x+5x, x+5.
  2. Equation: x+(x+5)=25x + (x + 5) = 25
  3. Simplify: 2x+5=252x + 5 = 25
  4. Subtract 5: 2x=202x = 20
  5. Divide by 2: x=10x = 10
  6. Verify: 10+15=2510 + 15 = 25

Choice Choice A is incorrect because this is the larger number.

Choice Choice D is incorrect because calculation error.

Choice Choice C is incorrect because calculation error.