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2 years ago

Find two positive numbers whose difference is 9 and whose product is 2950.

Mathematics

1 answer:

Naddika [18.5K]2 years ago

5 0

The two positive numbers whose difference is 9 and whose product is 2950 are 50 and 59

<h3>How to determine the positive numbers?</h3>

As a general rule, it should be noted that positive numbers are numbers that have their value greater than 0

So, we start by representing the two positive numbers with x and y.

So, we have the following equations

x - y = 9

xy = 2950

Make x the subject in the first equation x - y = 9

x = y + 9

Substitute y + 9 for x in the second equation

(y + 9) * y = 2950

Expand the equation

y^2 + 9y - 2950 = 0

Using a graphing tool, we have the solution of the above equation to be

y = 50

Recall that:

x = 9 + y

So, we have:

x = 9 + 50

Evaluate

x = 59

Hence, the two positive numbers whose difference is 9 and whose product is 2950 are 50 and 59

Read more about positive numbers at:

brainly.com/question/1782403

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