Question

If a:b=2:5 then (3a+4b):(5a+6b) is equal to

• A. \(\frac{13}{20}\)
• B. \(\frac{26}{33}\)
• C. \(\frac{16}{27}\)
• D. \(\frac{18}{35}\)

Answer 1

The Correct Option is A

Assume \(a\) be 2 and \(b\) be 5

We have to find (\(3a + 4b\)) : (\(5a + 6b\))

Substitute the values of \(a\ and\ b \) in the equation

= \(\frac{3(2)+ 4(5)}{5(2)+ 6(5)}\)

= \(\frac{6 + 10}{10 + 30}\)

= \(\frac{26}{40} = \frac{13}{20}\)

The correct option is (A): \(\frac{13}{20}\)