2. The number of men and women in a town are found to be perfect cubes. The number
of men in the town is 15653, and the number of women in the town is 25739. By
coincidence, we find that the number of children in the town is also a perfect cube. If we
give you a hint that this number is 864 n, then what is the smallest possible number of
children in the town?
With working please
Answers
Answer:
The annual precipitation in Mawsynram is around-
Step-by-step explanation:
The annual precipitation in Mawsynram is around-The place which receive annual rainfall below 50 cms is-0Which one of the following states receives the highest rainfall during winter months?
Given :- The number of children in town is also a perfect cube. If we give you a hint that this number is 864n.
To Find :-
- What is the smallest possible number of children in the town ?
Answer :-
Since the number 864*n is a perfect cube, its prime factors will be in pair of 3 .
so,
→ 864 = 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3
→ 864 = (2 * 2 * 2) * 2 * 2 * (3 * 3 * 3)
as we can see that, 2 * 2 is not in pair of 3 . in order to make perfect cube , we have to multiply it by 2 .
then,
→ 864 * 2 = (2 * 2 * 2) * (2 * 2 * 2) * (3 * 3 * 3)
→ 1728 = (2 * 2 * 2) * (2 * 2 * 2) * (3 * 3 * 3)
therefore, smallest possible number of children in the town is 1728 .
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