Difference between revisions of "2007 AMC 10A Problems/Problem 4"

Revision as of 20:28, 11 September 2020

The sum of four consecutive multiples of 5 is 110. What is the greatest of the four numbers?

Let the two consecutive odd integers be $a$ , $a+2$ . Then $a+2 = 3a$ , so $a = 1$ and their sum is $4\ \mathrm{(A)}$ .

2007 AMC 10A (Problems • Answer Key • Resources)
Preceded by Problem 3	Followed by Problem 5
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25
All AMC 10 Problems and Solutions

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 == Problem ==
-The larger of two consecutive odd integers is three times the smaller. What is their sum?
+The sum of four consecutive multiples of 5 is 110. What is the greatest of the four numbers?
-<math>\text{(A)}\ 4 \qquad \text{(B)}\ 8 \qquad \text{(C)}\ 12 \qquad \text{(D)}\ 16 \qquad \text{(E)}\ 20</math>
 == Solution ==