Product number ratio

The product of two unknown numbers is two hundredths.
The first number is 1.25 times larger than the second number. Specify both numbers.

Final Answer:

a =  0.1581
b =  0.1265

Step-by-step explanation:

$$\begin{gathered} ab=0.02 \\ a=1.25b \\ 1.25b\cdot b=0.02 \\ b=\sqrt{0.02/1.25}\doteq 0.1265 \\ a=1.25\cdot b=1.25\cdot 0.1265=0.1581 \end{gathered}$$

$$\begin{gathered} b=0.1265\doteq 0.1265 \\ \text{ Verifying Solution: } \\ s=a\cdot b=0.1581\cdot 0.1265=\frac{1}{50}=0.02 \end{gathered}$$

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