The sum of two numbers is 48. One number is 24 more than the other number. Find the numbers.
My thinking is X=48-24.
X=24
But that doesn't work does it?
(x + 24) + x = 48
2x = 24
x = 12
12 is the smaller number. What is the larger number?
Stuff
36
To find the two numbers, let's assign variables to represent the numbers.
Let's say one number is x.
According to the given information, the other number is 24 more than x. So, we can express the second number as x + 24.
The sum of the two numbers is said to be 48.
Therefore, to solve for the two numbers, we can set up the equation:
x + (x + 24) = 48
Simplifying the equation, we have:
2x + 24 = 48
To isolate the variable on one side, we can subtract 24 from both sides of the equation:
2x = 48 - 24
2x = 24
Next, we can divide both sides of the equation by 2 to solve for x:
x = 24 / 2
x = 12
So, one of the numbers is 12.
To find the other number, we can substitute the value of x back into the equation:
x + 24 = 12 + 24
x + 24 = 36
Therefore, the other number is 36.
So, the two numbers are 12 and 36.