Answer:
0.05 and 0.2
Explanation:
Let the two unknown numbers be "x" and "y"
We have been given that: "The sum of two numbers is 0.25". This means, sum of x and y would be 0.25. Setting up the equation, we get:
x + y = 0.25 Equation 1
The quotient of these numbers is 0.25. This means that when one number is divided by the second, the answer is 0.25. So, x divided by y would be equal to 0.25. Setting up the equation, we get:
![(x)/(y) =0.25\\\\ x = 0.25y](https://img.qammunity.org/2021/formulas/mathematics/high-school/soa2mr6j7xx8at0oevejxsr42zcswg86je.png)
Substituting this value of x in Equation 1:
![0.25y + y = 0.25\\\\ 1.25y = 0.25\\\\ y= (0.25)/(1.25)\\\\ y=0.2](https://img.qammunity.org/2021/formulas/mathematics/high-school/2csuspah5am7zjbjed66m4l3zh2cuix0da.png)
Using the value of y, to find x:
![x=0.25y=0.25* 0.2=0.05](https://img.qammunity.org/2021/formulas/mathematics/high-school/b0078kcetfy7m3elptujylojyss0tlmr14.png)
Thus, the two required numbers are 0.05 and 0.2