# 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 + 2*y*. Rearrange the second equation into *x* ? 2*y* = 6. Subtract the second equation from the first to find 3*y* = 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 .