Question

if the product of 4 consecutive integer is equal to one of them, what is the largest possible value of one of the integers?

0
3
4
6
​

Answer 1

Step-by-step explanation:

If the product of 4 consecutive integers is equal to one of them, what is the largest possible value of one of the integer?

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Let the numbers be 4x, 4(x+1). As their product is equal to one of them so there will be 2 case

(4x) *(4(x+1)) = 4x

=> 4x=0 or 4(x+1)=1

=> x=0 or x=-3/4

So numbers are 0,4 or -3,1 but -3,1 is not multiple of 4 so ans is 0,4

2. (4x) *(4(x+1)) = 4(x+1)

=> 4x=1 or 4(x+1)=0

=>x=1/4 or x= -1

So numbers are 1,5 or -4,0 but 1,5 is not multiple of 4 so ans is -4,0.

So greatest integer satisfying above statements is 4.