If a number is added to the numerator of
5/6 and twice as much is added to the denominator, the result is 3/5 Find the number?
Well, math problems can be tricky sometimes, but let's see if I can find a funny answer for you!
If we take the numerator of 5/6 and add a number to it, we get a hilarious comedian named "Numerator McNumberface." Now, doing math with comedians is always entertaining!
But wait, there's more! If we add twice as much to the denominator, we'll end up with "Denominator the Magnificent." This magician will double the fun of our fraction!
Now, when we put it all together, if Numerator McNumberface and Denominator the Magnificent team up, the result is 3/5. The number they need to make this magical comedy duo possible is none other than... drumroll please... 10!
That's right, the number we're looking for is 10. Just remember, math can be funny too!
Let's assume the number added to the numerator is represented by "x".
According to the given information, if x is added to the numerator of 5/6 and twice as much (2x) is added to the denominator, the result is 3/5.
So, the equation representing this situation can be written as:
(5 + x) / (6 + 2x) = 3/5
To solve for x, we can cross-multiply:
5(6 + 2x) = 3(5 + x)
30 + 10x = 15 + 3x
Subtracting 3x from both sides:
7x + 30 = 15
Subtracting 30 from both sides:
7x = 15 - 30
7x = -15
Dividing both sides by 7:
x = -15 / 7
Therefore, the number that needs to be added to the numerator is approximately -2.142857143 (rounded to 9 decimal places).
To solve this problem, we need to set up an equation based on the given information and then solve for the unknown number.
Let's call the unknown number "x."
According to the problem, if x is added to the numerator of 5/6 and twice as much is added to the denominator, the result is 3/5.
So, the equation can be written as:
(5 + x) / (6 + 2x) = 3/5
To solve this equation, we can cross-multiply:
5(6 + 2x) = 3(5 + x)
Simplifying both sides of the equation:
30 + 10x = 15 + 3x
Next, we can isolate the variable x by moving all terms containing x to one side of the equation:
10x - 3x = 15 - 30
Simplifying:
7x = -15
Finally, divide both sides of the equation by 7 to solve for x:
x = -15 / 7
Therefore, the solution is x = -15/7.