Product of three

The product of 3 numbers is 42. The first is 1.5 times larger than the second number, and the third is 3.5 times larger than the second number. What numbers are these?

Final Answer:

a =  3
b =  2
c =  7

Step-by-step explanation:

$$\begin{gathered} abc=42 \\ a=1.5b \\ c=3.5b \\ 1.5b\cdot b\cdot 3.5b=42 \\ b=\sqrt[3]{42/1.5/3.5}=2 \\ a=1.5\cdot b=1.5\cdot 2=3 \end{gathered}$$

$b=2$

$c=3.5\cdot b=3.5\cdot 2=7$

Try another example