Art of Problem Solving

2007 AMC 10A Problems/Problem 4: Difference between revisions

Problem: The previous problem was the actual problem
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== Problem ==
== Problem ==
The sum of four consecutive multiples of 5 is 110. What is the greatest of the four numbers?
The larger of two consecutive odd integers is three times the smaller. What is their sum?


== Solution ==
== Solution ==

Revision as of 11:11, 30 December 2020

Problem

The larger of two consecutive odd integers is three times the smaller. What is their sum?

Solution

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

See also

2007 AMC 10A (ProblemsAnswer KeyResources)
Preceded by
Problem 3
Followed by
Problem 5
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All AMC 10 Problems and Solutions

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