Question

Three numbers are in the ratios 3:4:5. If their product is 480, find the number.

Answer 1

Dear student,
Suppose the numbers are 3x, 4x and 5x.
Their product=$3x\times 4x\times 5x=60x^3$
$$\begin{gathered} so,60x^3=480 \\ \Rightarrow x^3=\frac{480}{60}=8 \\ \Rightarrow x=\sqrt[3]{2\times 2\times 2}=2 \\ Thereforenumbersare3\times 2=6;4\times 2=8and5\times 2=10 \end{gathered}$$

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