Question

the difference between the squares of two consecutive nos. is 47.find the numbers and the method

Answer 1

Let one of the numbers be x, then next number which is consecutive with the first will be ' x + 1 '.
as given , (x + 1)^2 - x^2 = 47.
x^2 + 1 + 2x - x^2 = 47
2x = 47 - 1.
x = 46/2 = 23.
so, the numbers are 23,24.

Answer 2

Answer:

Hola...

Step-by-step explanation:

Let the consecutive intergers be x and x + 1

( x + 1 )² - x ² = 47

x² + 2x + 1 - x² = 47

2x = 47 - 1

x = 46 ÷ 2

x = 23

x+1 = 23 + 1 = 24

Therefore, The two numbers are 23 and 24

Hope It Helps You!!!