Concept explainers
To calculate:Four consecutive even numbers to have a sum that is 10 more than the sum of the smallest two numbers.
Answer to Problem 20P
There is No solution to this problem.
Explanation of Solution
Given information:
Four consecutives even numbers to have a sum that is 10 more than the sum of the smallest
two numbers.
Calculation:
The above statement says thatfour consecutives even numbers have a sum that is 10 more
than the sum of the smallest two numbersthat means the sum of the two largest consecutives
numbers is 10 but this is not possible as the sum of two consecutive number cannot be even it
is always an odd number.
Example for the above statement is given below-
Let the four consecutive number be
where x is an integer.
As the sum is 10 more than the sum of the smallest two numbers,
The equation of the above statement is given by:
But we know that x is an integer and 3.5 is not an integer.
Therefore, there is no solution for the given statement
Chapter 3 Solutions
Algebra: Structure And Method, Book 1
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