I guess you mean by 'twin primes' two prime numbers that are next to each other in the sequence. With this information, the two prime which will be near the same value, should be near half of 60 (which is 30). So start looking at prime numbers near 30. One will have to be greater than 30 and the other less than 30. I found 29 & 31.
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60 and 61
If the product of the two numbers is the sum times 24, then the product of the two numbers is 2400. 40 times 60 is 2400, and 40 plus 60 is 100. The two numbers are 40 and 60.
12 and 48
60 + 12 = 72 60 - 12 = 48 The two numbers are therefore 60 and 12.