Let the two numbers be x and y.
Since, it is given that their sum is 24,
We can write, x + y = 24
For forming second equation, we will use their difference, which is 8.
So, we can write,
x – y = 8
(we can assume any number to be greater. Here, we assumed the greater number is x)
Here, coefficient of y is equal in magnitude and opposite in sign.
So, if we add the above two equations, it will be eliminated.
Adding equation (1)and(2)
2x = 32
⇒ x =
⇒ x = 16
Substituting the value of x in eq(1)
x + y = 24
⇒ 16 + y = 24
⇒ y = 24 – 16
⇒ y = 8
Hence, the two required numbers are 16 and 8.
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