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1. One number is twice another. The sum of the reciprocal is 9/2 . Find the two numbers. 2. A boat travels 30 miles up a river in the same amount of time it takes to travel 50 miles down the same river. If the current is 5 mph, what is the speed of the boat in still water?
1. Let a=1st no. and b=2nd no. One number is twice another means "a=2(b)"..The sum of the reciprocal is 9/2 means "1/a + 1/b = 9/2".. To find the value of b, we substitute eq.1 to eq.2... So, 1/2(b) + 1/b =9/2,.. Solving this,..3/2b = 9/2... 6=18b... b=1/3... Next is the value of a... a=2(b)....a=2(1/3)...a=2/3.. Therefore the two numbers are 1/3 and 2/3. 2.
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