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Secondary 1 | Maths
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Date Posted: 4 years ago
Views: 287
First number: m - 14
Second number: m - 7
Third number: m
Fourth number: m + 7
Fifth number: m + 14
Their sum is 5m (after simplification).
Since the sum of the numbers is at least 130,
5m >= 130
Dividing both sides (as you would for a regular equation),
m >= 26
Least m is 26.
But then, m is a multiple of 7.
Least m is 28.
Least value of largest number is 28 + 14 = 42.
Second number: m - 7
Third number: m
Fourth number: m + 7
Fifth number: m + 14
Their sum is 5m (after simplification).
Since the sum of the numbers is at least 130,
5m >= 130
Dividing both sides (as you would for a regular equation),
m >= 26
Least m is 26.
But then, m is a multiple of 7.
Least m is 28.
Least value of largest number is 28 + 14 = 42.
Shouldn’t the sum of all numbers be at least 650? (since average of all 5 consecutive multiples of 7 is at least 130)
Sorry, please correct me if im wrong.
Sorry, please correct me if im wrong.
Eh misread the question. Didn’t see that it was “average”.
First number: m - 14
Second number: m - 7
Third number: m
Fourth number: m + 7
Fifth number: m + 14
Their sum is 5m (after simplification).
Since the average of the numbers is at least 130, their total sum must at least be 650.
5m >= 650
Dividing both sides (as you would for a regular equation),
m >= 130
Least m is 130
But then, m is a multiple of 7.
Least m is 133.
Least value of largest number is 133 + 14 = 147.
Second number: m - 7
Third number: m
Fourth number: m + 7
Fifth number: m + 14
Their sum is 5m (after simplification).
Since the average of the numbers is at least 130, their total sum must at least be 650.
5m >= 650
Dividing both sides (as you would for a regular equation),
m >= 130
Least m is 130
But then, m is a multiple of 7.
Least m is 133.
Least value of largest number is 133 + 14 = 147.
See 3 Answers
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Not sure if this is correct. But hope it helps! :)
Date Posted:
4 years ago
But m must also be a multiple of 7, since it is mentioned that the five numbers are multiples of 7.
Better is “least m is 133” and “least value of fifth number is 147”.
In your case with 130 and 144, these are numbers separated by differences which are multiples of 7, but the five numbers themselves are not multiples of 7.
Better is “least m is 133” and “least value of fifth number is 147”.
In your case with 130 and 144, these are numbers separated by differences which are multiples of 7, but the five numbers themselves are not multiples of 7.
Oh yes, you are right, I hv missed that part. Thank you for pointing that out!
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Sorry, please refer to this answer instead of my previous one.
Date Posted:
4 years ago
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Hope this helps, impt parts in pink
Date Posted:
4 years ago
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