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One integer is two more than another. The sum of the lesser integer and double the greater is 7. What is the greater integer?
Let x = the greater integer and y = the lesser integer. From the ?rst sentence within the question we get the equation x = y + 2. From the second sentence in the question we get y + 2x = 7. Substitute x = y + 2 within the second equation: y + 2(y + 2) = 7; use the distributive property to simplify to: y + 2y + 4 = 7. Combine like terms to obtain: 3y + 4 = 7; subtract 4 from both sides of the equation: 3y + 4 - 4 = 7 - 4. Simplify to 3y = 3.Divide both sides of the equation through 3: 3y/3 =3/3; thus y = 1. Since the greater is two more than the lesser, the greater is 1 + 2 = 3.
The sum of three consecutive even integers is 102. What is the value of the largest consecutive integer? Three consecutive even integers are numbers in order such as 4, 6, and
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