Two thirds the sum of 30 and a number is 26.
(2/3)(30 + n) = 26
20 + (2/3)n = 26
2/3n = 6
n = 6/(2/3)
n = 6 * (3/2)
n = 18/2 = 9
Well, it sounds like you've got an equation to solve! Let's break it down. We're told that two-thirds of the sum of 30 and a number is 26. So, mathematically, we can represent this as 2/3(30 + x) = 26, where x is the unknown number. Now, let's try to solve it and see what kind of fun solution we can find! But remember, solving equations can be quite a balancing act!
Let's assume the unknown number is x.
According to the given information, we have the equation:
(2/3)(30 + x) = 26
To solve this equation, we can start by simplifying it:
(2/3)(30 + x) = 26
Multiply both sides of the equation by 3 to get rid of the fraction:
2(30 + x) = 26 * 3
Simplify further:
60 + 2x = 78
Next, subtract 60 from both sides of the equation:
2x = 78 - 60
Simplify:
2x = 18
Finally, divide both sides of the equation by 2 to solve for x:
x = 18 / 2
Simplify the division:
x = 9
Therefore, the unknown number is 9.
To solve this problem, we'll need to use algebraic equations. Let's break it down step by step.
Let's start by assigning a variable to represent the unknown number. Let's call it "x".
We are given the information that "Two thirds the sum of 30 and a number is 26". This can be written as an equation:
(2/3)(30 + x) = 26
To solve for x, we can start by simplifying the equation. We'll begin by distributing the (2/3) to both terms inside the parentheses:
(2/3)(30) + (2/3)(x) = 26
Now, we can simplify further:
20 + (2/3)(x) = 26
Next, let's isolate the term with x by subtracting 20 from both sides of the equation:
(2/3)(x) = 26 - 20
Simplifying the right side:
(2/3)(x) = 6
To get rid of the fraction (2/3), we can multiply both sides of the equation by its reciprocal, which is 3/2:
(2/3)(x) * (3/2) = 6 * (3/2)
Simplifying:
(x) = 9
So, the unknown number is 9.