Question 4

Ram, Rahim, Robin and Ria are four children, the product of whose ages is $$5040$$. Ram is older than Rahim by one year, older than Robin by two years and older than Ria by three years. The age of Ram (in years) is

Solution

If Ram is $$r$$ years old, the four ages are $$r$$, $$r-1$$, $$r-2$$ and $$r-3$$. Since $$5040=10 \times 9 \times 8 \times 7$$, the four consecutive ages are $$10,9,8,7$$. Therefore, Ram is $$10$$ years old.

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