Question

If a/b = 7/3, then find the value of the following ratio.. 5a + 3b / 5a - 3b?​

Answer 1

Answer:

The answer is 22/13

$\frac{a}{b} = \frac{7}{3} \\ so \:3 a = 7b \\ or \: a = \frac{7b}{3}$

put the value of a in the equation ☞

$so \: 5a + 3b \: = \: \frac{35b}{3} + 3b \\ \: \: \: \: \: = \frac{(35b + 9b)}{3} \\ = \frac{44b}{3}$

the other ☞

$5a - 3b \: = \frac{35b}{3} - 3b \\ \: \: \: = \frac{(35b - 9b)}{3} \\ \: \: = \frac{26b}{3}$

$\frac{5a + 3b}{ 5a - 3b} \\ \: \: = \frac{44b}{3} \times \frac{3}{26b}$

$\frac{44}{26} = \frac{22}{13}$

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