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If a + b : ab = 2 : 1, then find a : b.

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the equation can be simplified as follows:- (1/a)+(1/b)=2. so 1/b= 2- (1/a), simplifying by taking LCM 1/b=(2a-1)/a. thus, flipping over the numerator and denominator on both sides we get b= a/(2a-1) This shows that by putting the value of b, the ratio a:b= a/ which is equal...
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the equation can be simplified as follows:- (1/a)+(1/b)=2. so 1/b= 2- (1/a), simplifying by taking LCM 1/b=(2a-1)/a. thus, flipping over the numerator and denominator on both sides [formally called as invertendo] we get b= a/(2a-1) This shows that by putting the value of b, the ratio a:b= a/[a/(2a-1)] which is equal to (2a-1):1. therefore for every value you choose for 'a' the ratio a:b= (2a-1):1 read less
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ab

1:1
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one:one
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ME College Topper

a+b/ab=2/1; a+b=2ab.....Cross multiplying a/b+1=2a......... Divide all terms by b ie; a/b=2a-1
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