176k views
2 votes
Two positive numbers wise difference is 21 and who product is 1080

User Timusan
by
8.3k points

1 Answer

6 votes

The two positive numbers whose difference is 21 and whose product is 1080 are 54 and 33. We found these numbers by setting up a system of equations and factoring a quadratic equation.

Step-by-step explanation:

The student is asking for two positive numbers whose difference is 21 and whose product is 1080. We need to set up a system of equations to find these two numbers. Let's call the numbers x and y, with x being the larger number, then we can express the situation:

x - y = 21 (The difference between the numbers is 21)

x * y = 1080 (The product of the numbers is 1080)

We can solve these equations step by step:

From the first equation, we express y in terms of x: y = x - 21.

Substitute y in the second equation: x * (x - 21) = 1080.

Solve for x: x2 - 21x - 1080 = 0.

This can be factored into (x - 54)(x + 20) = 0, giving x = 54 or x = -20.

Since we are looking for positive numbers, we discard x = -20 and take x = 54.

Substitute x back into the first equation to find y: y = 54 - 21 = 33.

Therefore, the two positive numbers are 54 and 33.

The probable question can be: What are two positive numbers whose difference is 21, and the product of these numbers is 1080?

User Chrisbtoo
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.