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Oksana_A [137]
2 years ago
5

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

Mathematics
1 answer:
Nezavi [6.7K]2 years 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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