Question

Find two consecutive odd no,the difference of whose squares is 168

Answer 1

Answer:

Step-by-step explanation:

Let two consecutive even numbers be 2x and 2x+2.

According to question:

2x(2x+2)=168

⇒4x  

2

+4x−168=0

⇒x  

2

+x−42=0

⇒x  

2

+7x−6x−42=0

⇒x(x+7)−6(x+7)=0

⇒(x+7)(x−6)=0

⇒x=−7,x=6

But x cannot be negative.

∴ If x=6 then 2x=12 and 2x+2=14

∴ Two consecutive even numbers are 12 and 14