A fence has to be made. Posts are to be for every 6 m interval. They are at starting and ending point. Person brings some
posts and there are 7 posts lacking. If they are 9 m interval the posts are sufficient. How many posts did the persons
bring?
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Answer:
The person bring total (126/6-6) posts
that is (21-6)=15 posts.
Step-by-step explanation:
To make the fence the person bring some posts and let assume that the length of the fence is L m across.
If the posts are at 6 m interval then the number of posts will be L/6
Given that the posts are at last and first position. So the number of posts are (L/6+1)
The person noticed that 7 posts are lacking to make the fence.
Now the number of posts is {(L/6+1)-7}
If the interval of posts is 9 m then the posts are sufficient to make the fence.
So required posts are (L/9+1)
∴ {(L/6+1)-7}=(L/9+1)
=>(L/6-6)=(L/9+1)
=>(L/6-L/9)=7
=>(3L-2L)/18=7
=>L=7x18
=>L=126 m
The person bring total (126/6-6) posts
that is (21-6)=15 posts.
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