SAT Math Multiple Choice Practice Question 452: Answer and Explanation

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Question: 452

14. If the sum of two numbers is 10, and one of these numbers is equal to the sum of 6 and twice the other number, what is the value of the larger number minus the smaller number?

A. 2
B. 5
C. 6
D. 7
E. 8

Correct Answer: D

Explanation:

D Translate into algebra. The sum of two numbers is 10 means x + y = 10. Next, one number is equal to the sum of 6 and twice the other number means x = 6 + 2y. Rearrange the second equation into x ? 2y = 6. Subtract the second equation from the first to find 3y = 4. Divide by 3 to find y = . Plug that into the first equation to get x + = 10. So, x = 8. The larger number minus the smaller number is .

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