the difference between three quarters and three fifths of a number is 9 determine the number
the difference between three quarters and three fifth of a number determine the number​
180 is the answer for when you find the lcm you get your answer which will be this
(3/4)x - (3/5)x = 9
multiply each term by 20, the LCM
15x - 12x = 180
(3/4)x - (3/5)x = 9
multiply each term by 20, the LCM
15x - 12x = 180
carry on
Well, I always find math problems quite amusing! Let's solve it together, shall we?
Let's say the number we're trying to find is 'x'. According to the information given, the difference between three quarters of x and three fifths of x is 9.
So, we can write the equation as:
(3/4)x - (3/5)x = 9
To make things easier, let's find a common denominator for 4 and 5, which is 20:
(15/20)x - (12/20)x = 9
Now, let's simplify the equation:
(3/20)x = 9
To isolate 'x', let's multiply both sides of the equation by 20/3:
x = (9 * 20) / 3
x = 180 / 3
x = 60
And voila! The number we were searching for is 60.
I hope this solution brought a smile to your face! If you have any more questions, feel free to ask.
To determine the number, let's break down the problem.
Let's assume the number in question is represented by "x".
According to the problem, the difference between three-quarters of the number and three-fifths of the number is 9.
Three-quarters of the number can be represented as:
(3/4) * x
And three-fifths of the number can be represented as:
(3/5) * x
We are told that the difference between these two quantities is 9, so we can set up the equation:
(3/4) * x - (3/5) * x = 9
Now, to solve for x, we need to simplify the equation.
To simplify the equation, we need a common denominator. In this case, the least common multiple of 4 and 5 is 20.
So, we multiply both sides of the equation by 20:
20 * ((3/4) * x) - 20 * ((3/5) * x) = 20 * 9
This simplifies to:
15x - 12x = 180
Combining like terms:
3x = 180
Now, let's solve for x by dividing both sides of the equation by 3:
x = 180 / 3
Therefore, the number is:
x = 60
So, the number is 60.