Two consecutive perfect squares have a difference of $99$. what is the value of the larger perfect square?

2500

Step-by-step explanation:

Let the first square number be then the next square number is .

The difference between these two consecutive numbers is 99.

This implies that:

We expand to get:

Simplify:

Divide both sides by 2

Therefore the value of the larger perfect number is

.

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

i can't see the picture : /