Question

25. The product of two consecutive natural numbers is 600, then the numbers are:
రెండు వరుస సహజ సంఖ్యల లబ్దం 600 అయిన ఆ సంఖ్యలు :
(A) 24, 25
(B) 26, 25
(C) 35, 36
(D) 20, 30​

Answer 1

Answer:

From the given condition, we have

x(x+1)=72

⇒x

2

+x=72

⇒x

2

+x−72=0

⇒x

2

+9x−8x−72=0

⇒x(x+9)−8(x+9)=0

⇒(x−8)(x+9)=0

⇒x−8=0 or x+9=0

⇒x=8 or x=−9

∵−9 is not a natural number.

So, x=8 and x+1=8+1=9.

Hence, the numbers are 8 and 9.