Question 8

The ratio of three numbers is 2 : 5 : 7. If their product is 1890, then what is the sum of the three numbers?

Solution

Let the numbers be $$2x,5x$$ and $$7x$$

Product = $$(2x)\times(5x)\times(7x)=1890$$

=> $$x^3=\frac{1890}{70}=27$$

=> $$x=\sqrt[3]{27}=3$$

$$\therefore$$ Sum of numbers = $$2x+5x+7x=14x$$

= $$14\times3=42$$

=> Ans - (C)

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