Question

For which no. the product of its successor and predecessor is 99

Answer 1

Answer:

Predecessor of 99 = 98

Successor = 100

Product = 98 × 100 = 9800

Hope it helps you.

Step-by-step explanation:

Answer 2

Answer: x = 10

Step-by-step explanation:

Let the number be x.

Then it's successor is x+1

And it's predecessor is x-1

It is given that their product is 99

So we can write

(x+1) × (x-1) =99

We use the identity (a+b)(a-b) = a^2 + b^2

=>x^2 + 1 = 99

=> x^2 = 100

=> x = √10×10

=> x = 10

Therefore the required number is 10 , it's predecessor and successor are 9 and 11 respectively.

And you can see that 9×11=99.

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