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Question

Three consecutive whole numbers are such that if they be divided by $$5, 3$$ and $$4$$ respectively; the sum of their quotients is $$40$$. Find the numbers.


A
20,35 and 22
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B
50,51 and 52
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C
40,11 and 25
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D
5,5 and 8
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Solution

The correct option is D $$50, 51$$ and $$52$$
Let the three consecutive whole numbers be $$x,x+1,x+2$$
Now, according to question
$$\cfrac x5+\cfrac{x+1}3+\cfrac{x+2}4=40$$
$$\Rightarrow 12x+20x+20+15x+30=2400$$
$$\Rightarrow 47x=2350$$
$$\Rightarrow x=50$$
Hence, the three consecutive whole numbers are $$50,51$$ and $$52$$.

Mathematics

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