Question

6: Average of 3 consecutive even numbers is 24. Find the product of 1" and last number​

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Sum of three consecutive integers is 24. Find product of the integers.

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Correct option is

A

504

Let the three consecutive integers be x,x+1 and x+2.

It is given that the sum of the integers is 24, therefore, we have:

x+(x+1)+(x+2)=24

⇒x+x+1+x+2=24

⇒3x+3=24

⇒3x=24−3

⇒3x=21

⇒x=

3

21

⇒x=7

Therefore, x=7 and the other two integers are:

x+1=7+1=8 and

x+2=7+2=9

Now, we find the product of the integers as shown below:

x(x+1)(x+2)=7×8×9=504

Hence, the product of the integers is 504.