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
B
50,51 and 52
C
40,11 and 25
D
5,5 and 8

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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