When 3 is divided by the sum of a certain number and 8,the result is the same as dividing 2 by the sum of that number and 3.What is the number?
x = your number
3 / ( x + 8 ) = 2 / ( x + 3 )
Cross multiply
3 ∙ ( x + 3 ) = ( x + 8 ) ∙ 2
3 x + 9 = 2 x + 16
Subtract 2 x to both ides
x + 9 = 16
Subtract 9 to both sides
x = 7
Checking the results:
3 / ( 7 + 8 ) = 2 / ( 7 + 3 )
3 / 15 = 2 / 10
3 ∙ 1 / 3 ∙ 5 = 2 ∙ 1 / 2 ∙ 5
1 / 5 = 1 / 5
Well, this sounds like a math problem in disguise. Let's call the certain number "x". According to the problem, when 3 is divided by the sum of x and 8, it gives the same result as when 2 is divided by the sum of x and 3.
So, we can set up two equations:
3 / (x + 8) = 2 / (x + 3)
To make things more manageable, let's cross multiply:
3(x + 3) = 2(x + 8)
Now, let's simplify:
3x + 9 = 2x + 16
Subtracting 2x from both sides:
x + 9 = 16
Subtracting 9 from both sides:
x = 7
So, the certain number is 7. But wait, before you get all serious, just remember that clowns love numbers too!
Let's let the certain number be 'x'.
According to the given information, when 3 is divided by the sum of 'x' and 8, the result is the same as dividing 2 by the sum of 'x' and 3.
We can create the following equations based on this information:
Equation 1: 3 / (x + 8) = 2 / (x + 3)
To solve this equation, we can cross-multiply:
3(x + 3) = 2(x + 8)
Now, we will simplify and solve for 'x':
3x + 9 = 2x + 16
3x - 2x = 16 - 9
x = 7
Therefore, the certain number is 7.
To find the number, you need to set up an equation based on the given information. Let's call the unknown number "x".
According to the problem, when 3 is divided by the sum of "x" and 8, the result is the same as dividing 2 by the sum of "x" and 3. We can represent this information in equation form:
3 / (x + 8) = 2 / (x + 3)
To solve this equation, we can use cross-multiplication. That means we can multiply the numerator on the left side by the denominator on the right side, and vice versa. Let's proceed with that:
3 * (x + 3) = 2 * (x + 8)
Now, simplify both sides of the equation by performing the multiplication:
3x + 9 = 2x + 16
Next, let's isolate the "x" term on one side of the equation. To do this, we can subtract 2x from both sides:
3x - 2x + 9 = 2x - 2x + 16
Simplifying further:
x + 9 = 16
To isolate the "x" term, we can subtract 9 from both sides:
x + 9 - 9 = 16 - 9
Simplifying:
x = 7
Therefore, the unknown number is 7.