Question #N786
The sum of two numbers is 10. One number is 4 less than twice the other number. What is the value of the larger number?
A. 2
B. 4
C. 6
D. 8
Correct Answer is: D
Let x represent the smaller number. The larger number is 2x - 4. The sum of the two numbers is x + (2x - 4) = 10. Combining like terms, we get 3x - 4 = 10. Adding 4 to both sides, we get 3x = 14. Dividing both sides by 3, we get x = 14/3. The larger number is 2(14/3) - 4 = 28/3 - 4 = 16/3 = 5 1/3. Therefore, the larger number is 6.