Question

The difference between the squares of two consecutive numbers is 95. Find the numbers.
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Answer 1

let the two consecutive no's be x and (x+1)

According to the question:

(x+1)² - x²= 95

x² + 1 + 2x - x²= 95

2x + 1 = 95

2x = 94

x = 94/2 = 47

So the consecutive no's are: 47 and 48

Answer 2

Given - Sum

Find - Numbers

Solution - The numbers are 47 and 48.

Let the two numbers be x and (x+1).

(x+1)² - x² = 95

x² + 1 + 2x - x² = 95

2x = 95 - 1

2x = 94

x = 47

Number = x and (x+1).

Number = 47 and (47+1)

Number = 47 and 48

So, the numbers are 47 and 48.