Discussion of Question with ID = 042 under Ratio-and-Proportion

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Question

If a : b is 17 : 9, then what is (4a - 3b) : (7a - 8b)?

A

${41/47}$.

B

$1{21/23}$.

C

$2{37/49}$.

D

$3{5/7}$.

Soln.
Ans: a

Simply substitute the values to get (4a - 3b) : (7a - 8b) as (4 × 17 - 3 × 9) : (7 × 17 - 8 × 9) = $41/47$ = ${41/47}$.


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