Description:
প্রশ্ন: If the product of 3 consecutive integers is 120, then the sum of the integers is
ব্যাখ্যা:
Let the first integer be x-1. Then the next two integers would be x and x+1. So:
(x-1)× x × (x+1)= 120
=> (x²-1)x = 120
=> x³ - x = 120
∴x= 5 , Check 5³-5 = 125-5 = 120.
So, x=5. The other two numbers are 4 and 6 which are equal to x-1 and x+1 respectively.
Now the total of these numbers is 3x=3×5=15.