The sum of two numbers is 84, and one of them is 12 more than the other. What are the two numbers?

The sum of two numbers is 84, and one of them is 12 more than the other. What are the two numbers?The sum of two numbers is 84, and one of them is 12 more than the other. What are the two numbers?
x + y = 84 and x = y + 12


So y + 12 + y = 84


2y = 72


y = 36


x = 48The sum of two numbers is 84, and one of them is 12 more than the other. What are the two numbers?
First, you only use one variable, since it gives both numbers in terms of one of the numbers.





The smaller number is x, the bigger number can be x, but it's easier if we keep it as the smaller.








Smaller number is x, so bigger is x + 12 (since it says one of them is 12 more than the other). It says the sum is 84, so add them:





x + x +12=84


2x + 12=84


Subtract 12


2x = 72


x = 36





'Put x into the original equation, and find the two numbers. Since x is the smaller number, the bigger number is x + 12, or 48





Add them together to make sure it works, and you get 48 + 36 = 84.


There's your answer, and hope it helped!
Let the 2 numbers be x and y


x+y = 84


The difference between them is 12


x-y = 12





Add the 2 equations


2x = 96


x = 48


y = 36
36 (x) and 48 (x+12)
x+y=84


x-y=12


2x = 96


x = 48


2y = 72


y = 36