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nothing is much harder in understanding this.

generally CONSECUTIVE means those numbers which appear immediately to the right or left of the given number or we can say that these numbers appear one after the other in series form.

consecutive composite numbers means those composite numbers which are consecutive to each other

for example, we can say that 4,6,8,9 are four consecutive numbers.
2 5 2
the word consecutive  actually means being in series or one after the other.

composite numbers means  numbers whose divisor is excluding one and the number itself.actually they are those numbers which are not prime numbers.

for example ,consecutive composite numbers from 1 to 20 are 1,4,6,8,9,10,12,14,15,16,18,20.