# Monthly Archives: March 2013

## Triangular Sandbox

A sandbox in the shape of an equilateral triangle is meters on each side. A fence is built around the triangular sandbox at a constant distance of meters. What is the number of square meters in the area between the … Continue reading

## 1-7-24

Two numbers are such that their difference, sum, and their product are in the ratio of respectively. What is the product of the two numbers? Source: mathcontest.olemiss.edu 3/18/2013 SOLUTION Let be the two numbers. We are given the following proportion … Continue reading

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## 23567

Find the sum of all positive three-digit integers formed from the five digits: , and . The same digit can appear more than once. Source: mathcontest.olemiss.edu 3/4/2013 SOLUTION Let’s try a smaller problem to get an idea of what’s going … Continue reading

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## Circles Tangent to a Right Angle

In the figure, the two circles are tangent to the right angle and to one another. If the large circle has radius , what is the radius of the smaller circle? Source: NCTM Mathematics Teacher SOLUTION Let be the radius … Continue reading