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If \( \Large \frac{2a-5b}{3a+6b}=\frac{4}{7} \), then a:b is equal to

A) 21 : 36
B) 2 : 56
C) 59 : 2
D) 36 : 21

Correct Answer:



C) 59 : 2

Description for Correct answer:
\( \Large \frac{2a-5b}{3a+6b}=\frac{4}{7} \)

=> \( \Large 14a - 35b = 12a + 24b \)

=> 2a = 59b

\( \Large \frac{a}{b} = \frac{59}{2} \)

Therefor, a : b = 59 : 2

Part of solved Elementary Mathematics questions and answers : >> Elementary Mathematics

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