7
algebra

The sum of two numbers is 20. Twice the first plus the second is 30. What are the numbers?

A

5, 15

B

8, 12

C

10, 10

D

6, 14

Correct Answer: C

Choice Dhoice C is the correct answer.

  1. Equations: x+y=20x + y = 20, 2x+y=302x + y = 30
  2. Subtract 1st from 2nd: (2x+y)(x+y)=3020x=10(2x + y) - (x + y) = 30 - 20 \rightarrow x = 10
  3. Find y: 10+y=20y=1010 + y = 20 \rightarrow y = 10

Choice Dhoice D is incorrect because2(5)+15=25eq302(5)+15=25 eq 30.

Choice Dhoice B is incorrect because2(8)+12=28eq302(8)+12=28 eq 30.

Choice Dhoice C is incorrect because2(6)+14=26eq302(6)+14=26 eq 30.