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Class 10 > Learn Mathematics > If a:b = 5:3, find the value of (5a + 8b) : (6a - 7b)?
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If a:b = 5:3, find the value of (5a + 8b) : (6a - 7b)?

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49:9
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49/9 or 5.44
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49/49/9.
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Programming Tutor

First let a = 5x and b = 3x. Then put in ratio:- (5a+8b) : (6a-7b) = : = 49:9.
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An Experienced Trainer

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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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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49/9.
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