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?

Solution Preview

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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