9. The sum of two numbers is 8 and their product is -33 find the two numbers 10 A bill of 135 naira was paid using 5 naira note and 10 naira note. If 16 notes were used altogether, find howmany of each were used.

Question

9. The sum of two numbers is 8 and their product is -33 find the two numbers 10 A bill of 135 naira was paid using 5 naira note and 10 naira note. If 16 notes were used altogether, find howmany of each were used.

Answer 1

Let's solve the given problems step by step.### Problem 9: Finding Two NumbersGiven:- The sum of two numbers is 8.- The product of the two numbers is -33.Let's denote the two numbers as

and

.We have the following equations:1.

2.

To find the values of

and

, we can solve these equations simultaneously.First, let's express

in terms of

using the first equation:

Now, substitute this expression for

into the second equation:

This is a quadratic equation. We can solve it using the quadratic formula:

Here,

,

, and

:

So, the solutions are:

Therefore, the two numbers are

and

.### Problem 10: Finding the Number of 5 Naira and 10 Naira NotesGiven:- A bill of 135 naira was paid using 5 naira notes and 10 naira notes.- A total of 16 notes were used.Let's denote the number of 5 naira notes as

and the number of 10 naira notes as

.We have the following equations:1.

2.

First, let's simplify the first equation by dividing everything by 5:

Now we have the system of linear equations:1.

2.

We can solve this system by elimination. Subtract the second equation from the first:

Now substitute

back into the second equation:

Therefore, the number of 5 naira notes used is

and the number of 10 naira notes used is

.

Question

9. The sum of two numbers is 8 and their product is -33 find the two numbers 10 A bill of 135 naira was paid using 5 naira note and 10 naira note. If 16 notes were used altogether, find howmany of each were used.

Solution

Resposta