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Answer:
13,14,15
Step-by-step explanation:
Let the smallest of the three number be n.
Then the other numbers are n+1 and n+2 since the numbers are consecutive.
Now according to the question
(n/3)+((n+1)/4)+((n+2)/5) should be at most 20
that means,
n/3 + (n+1)/4+ (n+2)/5 <= 20
Taking LCM we get
((60*n)+15*(n+1)+12*(n+2))/60 <= 20
(60*n + 15*n +15+ 12*n +24) <= 20*60
(87*n+ 39) <= 1200
87*n <= 1161
n<= 13.34
n=13 since we need an integer.
Therefore the required numbers are:
13,14,15
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