Math, asked by pranitha8182, 1 year ago

Product of three consecutive numbers is 120 then sum of the integers is?

Answers

Answered by Steph0303
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 depaakkumar7591
1

Answer:

sum of terms 4+5+6=15

hence the number 15 is the correct answer

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