One number is 1/2 of another number. The sum of the two numbers is 18. Find the two numbers. Use a comma to separate your answers.
Let's assume that one number is x.
According to the given information, the other number can be represented as (1/2)x.
The sum of the two numbers is 18:
x + (1/2)x = 18
Now, we can solve this equation:
(3/2)x = 18
To isolate x, we can multiply both sides of the equation by 2/3:
x = (2/3) * 18
x = 12
So, one number is 12.
The other number can be calculated by taking half of 12:
(1/2) * 12 = 6
Therefore, the two numbers are 12 and 6.
To find the two numbers, let's assign variables to them. Let's call one number "x" and the other number "y".
From the given information, we can set up two equations:
1) "One number is 1/2 of another number":
x = (1/2)y
2) "The sum of the two numbers is 18":
x + y = 18
Now, we can solve this system of equations to find the values of x and y.
First, substitute the value of x from equation 1) into equation 2):
(1/2)y + y = 18
Next, simplify the equation:
(3/2)y = 18
To solve for y, multiply both sides of the equation by 2/3:
y = (18 * 2/3) = 12
Now, substitute the value of y back into equation 1) to find x:
x = (1/2)(12) = 6
Therefore, the two numbers are 6 and 12.
one number ---- x
the other ------(1/2)x
x + (1/2)x = 18
double each term
2x + x = 36
continue