To find: four consecutive integers such that the sum of the two greatest is 17 less than twice the
sum of the two smallest
Answer to Problem 12P
The required answer is: consecutive integers are 10, 11, 12 and 13
Explanation of Solution
Calculation:
Let the first integer be x
Let the second integer be x+1
Let the third integer be x+2
Let the fourth integer be x+3
(Sum of two greatest integers is 17 less than twice the sum of the two smallest)
(Removing the bracket)
(Subtract 2x from both sides)
(Add 15 to both sides)
(Divide 2 on both sides)
(Simplify)
First integer:
Second integer:
Third integer:
Fourth integer:
Therefore the consecutive integers are 10, 11, 12 and 13.
Chapter 4 Solutions
Algebra: Structure And Method, Book 1
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