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Algebra Word Problems

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1. Three consecutive even integers are such that the square of the third is 76 more than the square of the second. Find the three integers.

2. A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108in2. What are the dimensions of the photo?

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1. Assume these three numbers are x, x+2, and x+4
=>(x+4)^2-(x+2)^2=76
=>2(2x+6)=76
=>x=16

=>these three numbers are 16, 18, and 20

2. Assume the width is x inch

=> the length is x+3 ...

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