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The sum of three number in ap is _24 and their product is 288 find the numbers ?
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The sum of three number in ap is _24 and their product is 288 find the...
Given: Sum of three numbers in AP is 24 and their product is 288.
To find: The three numbers.
Solution:
Let the three numbers be a-d, a, a+d where a is the middle term and d is the common difference.
Given, (a-d) + a + (a+d) = 24
Simplifying, we get 3a = 24
Therefore, a = 8
Now, (a-d) * a * (a+d) = 288
Substituting a = 8, we get
(8-d) * 8 * (8+d) = 288
Simplifying, we get d = 2, -4
Therefore, the three numbers are 6, 8, 10 and 12, 8, 4.
Answer: The three numbers are either 6, 8, 10 or 12, 8, 4.
To find: The three numbers.
Solution:
Let the three numbers be a-d, a, a+d where a is the middle term and d is the common difference.
Given, (a-d) + a + (a+d) = 24
Simplifying, we get 3a = 24
Therefore, a = 8
Now, (a-d) * a * (a+d) = 288
Substituting a = 8, we get
(8-d) * 8 * (8+d) = 288
Simplifying, we get d = 2, -4
Therefore, the three numbers are 6, 8, 10 and 12, 8, 4.
Answer: The three numbers are either 6, 8, 10 or 12, 8, 4.
Community Answer
The sum of three number in ap is _24 and their product is 288 find the...
I think there is a mistake in the question. Pls check it again.According to my solution, product of the numbers will be 440. So, pls check & tell me.
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The sum of three number in ap is _24 and their product is 288 find the numbers ?
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The sum of three number in ap is _24 and their product is 288 find the numbers ? for Commerce 2025 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about The sum of three number in ap is _24 and their product is 288 find the numbers ? covers all topics & solutions for Commerce 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of three number in ap is _24 and their product is 288 find the numbers ?.
The sum of three number in ap is _24 and their product is 288 find the numbers ? for Commerce 2025 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about The sum of three number in ap is _24 and their product is 288 find the numbers ? covers all topics & solutions for Commerce 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of three number in ap is _24 and their product is 288 find the numbers ?.
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