Question

The product of two consecutive numbers is greater than the square of the smaller by 30. Find the numbers.

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Answer 1

Answer:

So the right question is The product of two consecutive numbers is greater than the square of the smaller by 30.

Now it's time to solve this question,

Let the first number be x

another number be (x+1)

According to Question,

According to Question,x(x+1) = (x)² + 30

According to Question,x(x+1) = (x)² + 30x² + x = x² + 30

According to Question,x(x+1) = (x)² + 30x² + x = x² + 30x = 30

So the number is 30 and 31.

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Answer 2

Answer:

Let the numbers be n and (n+1)

n(n+1) = n^2+30, or

n^2+n = n^2+30, or

n = 30

The numbers are 30 and 31.