Product of three consecutive numbers is 120 then sum of the integers is?
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Answered by
18
Answer:
Let the three consecutive integers be written as:
( x - 1 ), ( x ), ( x + 1 ).
It is given that there product is 120.
=> ( x + 1 ) ( x ) ( x - 1 ) = 120
=> ( x ) ( x² - 1 ) = 120
=> ( x³ - x ) = 120
=> x³ - x - 120 = 0
On solving the equation we get, x = 5
Hence the terms are ( 5 -1 ) ( 5 ) and ( 5 + 1 )
=> Terms = 4, 5 and 6
Sum of terms = 4 + 5 + 6 = 15
Hence the sum of the integers is 15.
Answered by
1
Answer:
sum of terms 4+5+6=15
hence the number 15 is the correct answer
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