Question

If we take three consecutive natural numbers, what is the relation between the product of the first and last, and the middle number?​

Answer 1

Answer:

Let the number be x−1,x.x+1

Given

x  

2

−[(x+1)  

2

−(x−1)  

2

]=60

x  

2

−[(x+1)  

2

−(x−1)  

2

]+60

x  

2

=4x+60

⇒ x  

2

−4x−60=0

⇒ x  

2

−10x+6x−60=0

x(x−10)+6(x−10)=0

(x+6)(x−10)=0

⇒ x=6,10

∴  The numbers are 9,10,11  

Step-by-step explanation: