Q8. The sum of three numbers inArithmetic Progression is 72 and theirproduct is 11880. What are the number
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Secondary School Math 5+3 pts
Q8. The sum of three numbers in
Arithmetic Progression is 72 and their
product is 11880. What are the number
Report by Benny37 13.05.2019
Answers
santoshkumar9472
Santoshkumar9472Helping Hand
Answer:
I don't know I really sorry
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aadesh25
Aadesh25Ambitious
Let the three no. Be a-d, a, a+d
Sum of 3no. = a-d+a+a+d = 72
3a = 72
a = 24
Product of 3 no. Be (a-d)(a)(a-d) = 11880
(24-d)(24)(24+d) = 11880
(24)² - d² = 11880/24
576 - d² = 495
576-495 = d²
81= d²
d = 9 or - 9
When the d=+9, The numbers are 24-9,24,24+9
= 15,24,33
And when the d = -9, the no. Are
24-(-9),24,24+(-9)
= 33,24,15
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