if there are three primes and product of first two is 551 and product of last two is 1073 then what are the prime numbers?

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Solution

As, it is given that, the numbers are prime.
therefore, they will contain the common factor only 1.
Also, it is given that,
two products have the middle number in common.

â‡’Middle No. = H.C.F. of 551 & 1073 = 29
â‡’Middle No. = 29
Now, first no. = 551/29=19
and
third no. = 1073/29 = 37
Thus, the three prime nos. are 19,29 and 37.

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