Answer :

To find the two numbers, we can set up a system of equations based on the information given in the problem.

We know two things:


  1. The sum of the two numbers is 327.

  2. The difference between the two numbers is 151.


Let's define the two numbers as [tex]x[/tex] and [tex]y[/tex]. So, we can write the following equations:

[tex]\begin{align*}
x + y &= 327 \
x - y &= 151
\end{align*}[/tex]

Now, we can solve this system of equations using the elimination method.

Step 1: Add the two equations together to eliminate [tex]y[/tex].

[tex]\begin{align*}
(x + y) + (x - y) &= 327 + 151 \\
2x &= 478
\end{align*}[/tex]

Step 2: Solve for [tex]x[/tex].

[tex]x = \frac{478}{2} = 239[/tex]

Step 3: Substitute [tex]x = 239[/tex] back into one of the original equations to solve for [tex]y[/tex].

Using the first equation:

[tex]239 + y = 327[/tex]

Subtract 239 from both sides:

[tex]y = 327 - 239 = 88[/tex]

So the two numbers are 239 and 88.

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Rewritten by : Barada