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Three numbers which are co-prime to one another are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is :
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- 75
- 81
- 85
- 89
Correct Option: C
Let the numbers be p , q and r which are prime to one another.
Now, pq = 551
qr = 1073
∴ q = HCF of 551 and 1073
∴ q = 29
∴ p = | = 19 | |
29 |
and r = | = 37 | |
29 |
∴ Sum = 19 + 29 + 37 = 85
Hence , Sum of the three numbers is 85.