If a:b = 5:3, find the value of (5a + 8b) : (6a - 7b)?

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Sujoy Das

JU-IITKGP & 10+ years experienced for boards, JEE,NEET,OLYMPIAD & 5-12

49:9
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49:9
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Taking b common from both numerator and denominator, now put the value of a/b in the fraction we will get the answer as 49/9.
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Math Teacher

33/23.
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Taking a = 5k, b = 3k, then answer is 49 : 9.
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49:9
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Maths Tutor

Divide by b we get:- (5(a/b)+8 ) )/ ((6(a/b)-7)) = (5 x (5/3)+8 ) /( 6x(5/3)-7) =( (25/3 )+8) / (( 30/3)-7) = ( 49/3 ) / (10-7) =(49/3)x3 =49/9
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49/9.
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Bachelor's in Media and Mass Communication.

5*5+8*3 = 49. 6*5-7*3 = 9. 49/9.
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49/9 or 5.44
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