To find: the consecutive integers
Answer to Problem 7P
The consecutive integers are
Explanation of Solution
Given information: “The greater of two consecutive integers is 15 more than twice the smaller”
Concept Involved:
Assign variable for the unknown that we need to find.
Use the keywords in the statement to rewrite the statement to meaningful math equation.
“is” means =
“more than” means +
“twice” means 2×
Solve the equation by getting the variable in one side of the equation and undoing whatever is done to it by performing reverse operation.
Calculation: Assign variable for the unknown that we need to find
Let x be the smaller integer, so x+1 will be the consecutive greater integer
Rewrite the sentence using the variable representing smaller and greater integer
Replace the keywords to get an equation representing the sentence given
In the process of getting x in one side of the equation subtract 2x on both sides
Combine like terms on both sides
Subtract on both sides of the equation
Combine like terms on both sides of the equation
Divide -1 on both sides of the equation
Simplify fraction on both sides of the equation
Substitute -14 for x in the expression
Conclusion:
A integers that satisfying the description “The greater of two consecutive integers is 15 more than twice the smaller” are
Chapter 3 Solutions
Algebra: Structure And Method, Book 1
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