what has a sum of 24 and a quotient of 5

The numbers are "x" and "y";

Therefore, we can suggest this system of equations:
x+y=24 ⇒x=24-y
x/y=5

solve this problem by substitution method.
(24-y)/y=5
24-y=5y
-y-5y=-24
-6y=-24
y=-24/-6=4

x=24-y
x=24-4
x=20

Answer: the number are: 20 and 4

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20 and 4

To find the number that has a sum of 24 and a quotient of 5, we need to use algebraic equations.

Let's assume the number is x.

According to the problem, the sum of the number and its quotient is 24. This can be expressed as the equation:
x + (x/5) = 24

To solve this equation, we can multiply every term by 5 to eliminate the fraction:
5x + x = 120

Simplifying the equation, we get:
6x = 120

Dividing both sides of the equation by 6, we find that:
x = 20

Therefore, the number we are looking for is 20.