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The product of two integers is ─24. The difference between the two integers is 14. The sum of the two integers is 10. What are the two integers? Name them from least to greatest

Respuesta :

The two integers are found as -2 and 12 where -2 is the least and 12 is the greatest.

What exactly is a simultaneous equation?

  • A collection of simultaneous equations is a finite set of equations by which common solutions have been sought in mathematics.
  • It is also referred to as a system of equations or perhaps an equation system.

As per the given question.

Let x and y are the given two integers.

Product of these two integers =  – 24

⇒ xy = - 24     ....(i)

The difference of the two integers =  14

⇒ x - y = 14    ...(ii)

The sum of given two integers = 10

⇒ x + y = 10      ....(iii)

Add equation (ii) and (iii) ,

2x = 24

⇒ x = 12

Put the value of x in equation (i) ,

12y = - 24

⇒ y = - 2

Thus, the two integers are found as -2 and 12 where -2 is the least and 12 is the greatest.

To know more about the simultaneous equations, here

https://brainly.com/question/16763389

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