Question

Square of the sum of numbers in a pair of twin primes 576. Find such pair from the following
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Answer 1

11,13

Step-by-step explanation:

Twin prime numbers are the pair of prime numbers that have only one composite number in between them. In other words, they have a difference of 2.

Let us assume the first prime number as 'x' and the second prime number as 'y'. According to the question,

⟹ (x + y)² = 576

⟹ (x + y)² = 24²

⟹ x + y = 24

So, we have found that the sum of pair of twin primes is 24. To find the twin pair, we need to follow these steps:

1) Divide the result by 2.

⟹ 24/2 = 12

2) Add and subtract the divided result with 1.

⟹ 12 + 1 = 13

⟹ 12 - 1 = 11

Therefore, the pair is 11,13.