Question

if a/ b = 5/3 then find the value of a + b / a - b​

Answer 1

Answer :-

• $\sf \frac{a+b}{a-b} = 4$

Explanation :-

• $\sf \frac{a}{b} = \frac{5}{3}$

• $\sf a = \frac{5b}{3}$

Now we can put value of a in eq.

$\sf \longrightarrow \frac{a+b}{a-b}$

$\sf \longrightarrow \frac{\frac{5b}{3}+b}{\frac{5b}{3}-b}$

$\sf \longrightarrow \frac{ \frac{5b + 3b}{3} }{ \frac{5b - 3b}{3} }$

$\sf \longrightarrow \frac{ \frac{5b + 3b}{\cancel3} }{ \frac{5b - 3b}{\cancel3} }$

$\sf \longrightarrow \frac{5b + 3b}{5b - 3b}$

$\sf \longrightarrow \frac{8b}{2b}$

$\sf \longrightarrow \frac{\cancel{8b}^{\: \: 4}}{\cancel{2b}}$

$\sf \longrightarrow 4$

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