30 is added to 1/3 of a number. the results is double the number. What is the number?
30 + x/3 = 2*x
30 = 5x/6
x = 30*6/5
x = 36
30 + x/3 = 2x
90 + x = 6x
90 = 5x
x = 18
check:
1/3 of 18 = 6
30 + 6 = 36
which is double our number of 18
To find the number, let's assign a variable to it. Let's call the number "x".
According to the information given, 30 is added to one-third of the number. Mathematically, this can be expressed as:
(1/3)x + 30 = 2x
Now, let's solve the equation to find the value of x:
First, let's get rid of the fraction by multiplying the entire equation by 3 to eliminate the fractions:
3 * ((1/3)x + 30) = 3 * (2x)
This simplifies to:
x + 90 = 6x
Next, subtract x from both sides of the equation:
x + 90 - x = 6x - x
This simplifies to:
90 = 5x
Finally, divide both sides of the equation by 5 to isolate x:
90/5 = 5x/5
This simplifies to:
18 = x
So, the number is 18.