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

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

$\frac{13}{20}$

$\frac{26}{33}$

$\frac{16}{27}$

$\frac{18}{35}$

Answer

$\frac{13}{20}$

Explanation

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): $\frac{13}{20}$

Mathematics Question on Ratio and Proportion