Answer :
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.
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