Algebra Problems, Math Problems

Problem of the Day: 12/22/12

Four consecutive integers have a sum of -118. What is the product of the first and last of these integers?

Solution to yesterday’s problem:
In the figure from yesterday, the triangle UVW is a right triangle, and the hypotenuse is 13 units long. Knowing that 5-12-13 is a Pythagorean triple, we can deduce that UV=12 and WV=5. We’re also given the fact that the ratio TU:UV=\frac{3}{2}, so we can solve a proportion to find the length of side TU.
\frac{l}{12}=\frac{3}{2}
Cross multiplying,
2l=36
l=18
So the length of side TU is 18 units.

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