Question

please solve the given question.....urgent

Answer 1

1st number is 10
2ed number is 11
I hope helps you

Answer 2

Answer:

9,10,11

Step-by-step explanation:

Let the three consecutive natural numbers be x, x + 1 and x + 2.

Given that Square of the middle exceeds the differences of squares by 60.

⇒ (x + 1)² = (x + 2)² - x² + 60

⇒ x² + 1 + 2x = x² + 4 + 4x - x² + 60

⇒ x² + 1 + 2x = 64 + 4x

⇒ x² + 1 + 2x  - 64 - 4x = 0

⇒ x² - 2x - 63 = 0

⇒ x² - 9x + 7x - 63 = 0

⇒ x(x - 9) + 7(x - 9) = 0

⇒ (x - 9)(x + 7) = 0

⇒ x = 9, -7.{Neglect -ve values}

⇒ x = 9.

Then:

⇒ x + 1 = 10

⇒ x + 2 = 11

Therefore, the numbers are 9,10,11.

Hope it helps!