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1 year ago

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The quotient of two numbers is 3 and their sum is 8 what are he two numbers

1 answer:

Nezavi [6.7K]1 year ago

4 0

<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

<h2>Solving the Question</h2>

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
⇒ $\dfrac{a}{b}=3$
sum of <em>a</em> and <em>b</em> is 8
⇒ $a+b=8$

First, isolate <em>a</em> in the first equation and substitute it in the second equation to solve for <em>b</em>:

$\dfrac{a}{b}=3\\\\a=3b$

$a+b=8\\3b+b=8\\4b=8\\b=2$

Therefore, one of the numbers is 2. Substitute this into one of our equations to solve for <em>a</em>:

$a+b=8\\a+2=8\\a=6$

Therefore, the other number is 6.

<h2>Answer</h2>

The two numbers are 2 and 6.

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