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<h2>Translating Word Equations into Numerical Equations</h2>
To change words into equations, we can recognize keywords that translate into operations and/or numbers:
- <em>quotient</em> = divide
- <em>a number/the number/two numbers</em> = variables
- <em>sum</em> = add
Let the two numbers be <em>a</em> and <em>b</em>.
We're given:
- quotient of <em>a</em> and <em>b</em> is 3
⇒ - sum of <em>a</em> and <em>b</em> is 8
⇒
First, isolate <em>a</em> in the first equation and substitute it in the second equation to solve for <em>b</em>:
Therefore, one of the numbers is 2. Substitute this into one of our equations to solve for <em>a</em>:
Therefore, the other number is 6.
<h2>Answer</h2>The two numbers are 2 and 6.