Q. 24.0( 2 Votes )

Find two numbers

Answer :

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)


We get


2x = 32


x =


x = 16


Substituting the value of x in eq(1)


We get


x + y = 24


16 + y = 24


y = 24 – 16


y = 8


Hence, the two required numbers are 16 and 8.


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