Write Equations Given a Problem
Example corresponding to question 6 in algebra_2.
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Example 1
The sum of $3$ consecutive even numbers is $258$. Which of these equations could be used to find $x$ , the largest of these $3$ numbers?
- $3x=258$
- $3x-6=258$
- $3x+6=258$
- $3x=258-2$
- $3x-2=258$
Solution
This example is about wrting an equations given quantitative information in a maths problem.
- Let $x$ be the largest of these $3$ numbers. Hence the two other (smaller) numbers are $x-2$ and $x-4$. (The difference of two consecutive even numbers is equal to 2). The sum of $x$, $x-2$ and $x-4$ is equal to $258$. Hence
$x + (x-2) +(x-4)= 258$
- Group like terms and rewrite the equation as follows
$3x-6=258$
Answer B
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