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CBSE Class 10 Answered

find three numbers in AP is 15 and product  is 80
Asked by nikhil2010prakash | 08 Dec, 2018, 09:03: AM
answered-by-expert Expert Answer
Let the three numbers are (a-d), a and (a+d)
 
Sum = 3a = 15 ; hence a = 5;
 
product (a-d)×a×(a+d) =  (5-d)×5×(5+d) = 80
 
(5-d)×(5+d) = 16
 
25 - d2 = 16  or  d2 = 9   or d =3
 
Hence numbers are 2,5 and 8
Answered by Thiyagarajan K | 08 Dec, 2018, 09:16: AM
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