SOLUTION: the quotient of the two positive integers is 5/2,and there product is 160. what is the value of the larger of the two products

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Question 942068: the quotient of the two positive integers is 5/2,and there product is 160. what is the value of the larger of the two products
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If the maximum common divisor of those integers is D ,
the integers are 5D and 2D ,
and their product is
%285D%29%2A%282D%29=10D%5E2 .
system%28%285D%29%2A%282D%29=10D%5E2%2C%285D%29%2A%282D%29=160%29 ---> 10D%5E2=160 ---> D%5E2=160%2F10---> D%5E2=16 ---> D%5E2=sqrt%2816%29 ---> D=4
So, the largest of the two integers is 5D=5%2A4=20 .