Question 80656
QUESTION:


The sum of two numbers is 33. Their difference is 11. What are the two numbers?


ANSWER:


Assume that two mumbers are x and y and suppose x is the bigger number.



It is given that their sum is 33.


==>  x + y = 33 -----------------(1)



Their difference is 11


==> x- y = 11 -------------------(2)



Add (1) and (2)



==> x + y + x - y = 33 + 11



==> x + x + y - y = 44



==> 2x = 44



Divide both sides of the expression by 2.



==> 2x/2 = 44/2



==> x = 22



So the bigger number is 22


Given that sum of these numbers = 33


So the other number is =  33- 22 = 11



So the numbers are 22 and 11.



Hope you understood.


Regards.


Praseena.