Math, asked by beranabanita48, 3 months ago

product of two consucutive number in 99 find the number​

Answers

Answered by vanithasureshd2004
0

bro first give the full question....it should be consecutive odd numbers....if odd numbers is not mentioned then the question is wrong....but anyway I'll assume it as consecutive odd numbers and I'll give u the answer

Answer:

the numbers are 9 and 11

Step-by-step explanation:

Let x and x+2 be the two consecutive odd natural numbers.

It is given that the product of these consecutive odd natural numbers is 99.

∴ (x)×(x+2)=99

x^2+2x=99

x ^2 +2x−99=0

x^2+11x−9x−99=0

x(x+11)−9(x+11)=0

(x+11)(x−9)=0

∴ x=−11 or x=9

But x is a natural number, so it can not be negative

∴ x=9

Another number is

x+2=9+2=11

∴ The numbers are 9 and 11

Hope it helps you

Similar questions