Three numbers which are co-prime to each othe | vedclass

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Question

(C) Let the three co-prime numbers be $x, y,$ and $z$.Given that the product of the first two is $xy = 551$ and the product of the last two is $yz = 1

Vedclass · Accepted Answer

$85$

Vedclass · Answer

(C) Let the three co-prime numbers be $x, y,$ and $z$.Given that the product of the first two is $xy = 551$ and the product of the last two is $yz = 1073$.Since $y$ is a common factor of both products,we find the Highest Common Factor $(HCF)$ of $551$ and $1073$.Using the division method:$1073 = 551 	imes 1 + 522$$551 = 522 	imes 1 + 29$$522 = 29 	imes 18 + 0$Thus,the $HCF$ is $29$,which means $y = 29$.Now,find $x$ and $z$:$x = 551 / 29 = 19$$z = 1073 / 29 = 37$The three numbers are $19, 29,$ and $37$. These are co-prime to each other.The sum of the three numbers is $19 + 29 + 37 = 85$.

Three numbers which are co-prime to each other 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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