Question

8. The difference between the squares of two consecutive numbers is 15. Find the numbers.​

Answer 1

The number are 8 & 7

(8)^2 - (7)^2

64 - 49

= 15

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Answer 2

Answer:

7 and 8

Step-by-step explanation:

Let the two consecutive numbers be x and x+1.

By the given condition,

The difference of squares of the two numbers is 15.

Thus, (x+1)² - x² = 15

or x² + 2x + 1 - x² = 15

or 2x= 14

or x = 7

Thus, the two consecutive numbers are 7 and 8.

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