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Square of the sum of numbers in a pair of twin primes 576. Find such pair from the following |
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Answer» rong>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. |
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