Let, the number be "x" let y be the quotient Now, according to the question, x / 3 = y.............................equation (1) Also, y + 4 = 8 ...............equation (2)............because it says 4 added to the quotient is 8 y = 8-4 y = 4
Now, substituting the value of y in equation (1), we get, x / 3 = y x / 3 = (4) x = 4 * 3 x = 12
So, the number is 12
An equation is a mathematical statement that is made up of two expressions connected by an equal sign .
If a number is divided by 3, and then 4 is added to the quotient the result is 8
The number is 12 and the quotient is 4.
What is an equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign .
We have,
Let the number be M.
Let the quotient be N.
Now,
A number is divided by 3, and then 4 is added to the quotient the result is 8
This can be made into two equations :
M / 3 = N _____(1)
N + 4 = 8 ______(2)
From (1) we get,
M = 3N ______(3)
From (2) we get,
N + 4 = 8
N = 8 - 4
N = 4 _____(4)
Putting (4) in (3)
M = 3 x N
M = 3 x 4
M = 12
Thus,
If a number is divided by 3, and then 4 is added to the quotient the result is 8
The number is 12 and the quotient is 4.
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The number in the problem is 12. When this number is divided by 3, the quotient is 4. Adding 4 to the quotient results in 8, confirming the solution.
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