The difference of a larger number and a smaller number is 6. The sum of the larger number and twice the smaller is 15. What is the larger number?	Choices: A) 7 B) 8 C) 9 D) 10 E) 11
Let x be the larger number and y be the smaller number.   x - y = 6   x + 2(y) = 15   Solve by substitution: y = x - 6   x + 2(x-6)=15   x + 2x -12 = 15   3x = 27   x=9   The larger number is 9, so answer 9 is correct.
<result>C</result>
The difference of a larger number and a smaller number is 6. The sum of the larger number and twice the smaller is 15. What is the larger number?