9
algebra

The sum of two numbers is 40. Their difference is 10. What is the larger number?

A

25

B

30

C

20

D

15

Correct Answer: A

Choice Bhoice C is the correct answer.

  1. Equations: x+y=40x + y = 40, xy=10x - y = 10.
  2. Add: 2x=50x=252x = 50 \rightarrow x = 25.

Choice Bhoice D is incorrect because this is the smaller number.

Choice Bhoice C is incorrect because calculation error.

Choice Bhoice A is incorrect because calculation error.