One number is 2/3 of another number. The sum of the two numbers is 40. Find the two numbers. Use a comma to separate your answers.
x + (2/3)x = 40
1 2/3 x = 40
x = 40/(5/3)
x = 40 * (3/5)
x = 120/5 = 24
(2/3) * 24 = ?
Well, math problems can certainly be puzzling, but let's put on our numerical clown noses and solve this one together!
Let's call one of the numbers "x", and since the other number is 2/3 of x, we can call it "2/3x".
According to the problem, the sum of the two numbers is 40. So, we can write the equation as follows:
x + 2/3x = 40
Now, let's simplify this equation by combining the "x" terms:
3/3x + 2/3x = 40
Multiplying both sides by 3 to eliminate the fraction:
3x + 2x = 120
5x = 120
Dividing both sides by 5:
x = 120/5
x = 24
Now, we can find the other number by substituting the value of x back into the equation:
2/3x = 2/3 * 24
2/3 * 24 = 16
So, the two numbers are 24 and 16, in that order. Ta-da! Keep those numerical brain ticklers coming!
Let's assume the first number is x and the second number is 2/3 of x, which we can write as 2x/3.
According to the problem, the sum of the two numbers is 40. So we can set up the equation:
x + 2x/3 = 40
To simplify the equation, we can multiply both sides by 3 to get rid of the fraction:
3x + 2x = 120
Combining like terms, we have:
5x = 120
Now, we can solve for x by dividing both sides by 5:
x = 120/5
x = 24
So the first number is 24.
To find the second number (2x/3), we substitute x = 24 into the equation:
2(24)/3 = 48/3 = 16
Therefore, the two numbers are 24 and 16.
So the answer is 24, 16.
To solve this problem, we can set up a system of equations based on the given information.
Let's assume the first number is 'x'. Since the other number is 2/3 of the first number, we can say that the second number is (2/3)x.
According to the problem, the sum of the two numbers is 40. So, we can write the equation as:
x + (2/3)x = 40
To solve the equation, we need to get rid of the fraction. We can do this by multiplying every term in the equation by the least common denominator (LCD) of 3. In this case, the LCD is 3:
3x + 2x = 120
Combining like terms, we have:
5x = 120
Now, isolate the variable x by dividing both sides of the equation by 5:
x = 120 / 5
x = 24
So, the first number is 24.
To find the second number, we can substitute the value of x back into the equation. The second number is (2/3)x, which becomes:
(2/3) * 24 = 16
So, the second number is 16.
Therefore, the two numbers are 24 and 16.