Question

The difference of squares of two consecutive even natural numbers is 12. Taking p as the smaller of two numbers, form an equation in p and hence find the larger of the two.​

Answer 1

Answer:

The numbers are 2 and 4

Step-by-step explanation:

Let the two consecutive even natural numbers be p and p+2

Given, that (p+2)² - p² = 12

⇒ p² + 4p + 4 - p² = 12

⇒ 4p + 4 = 12

⇒ 4p = 12 - 4

⇒ 4p = 8

⇒ p = 8/4

⇒ p = 2

p + 2 = 2 + 2 = 4

So, the numbers are 2 and 4

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Answer 2

Answer :

2 , 4 [4 2 - 2 2 = 16 - 4 = 12]