Question

if a+b/a-b=4/3 them a/b=?

1 7
2 6
3 - 7
4 4​

Answer 1

$\sf\underline\orange{Given:-}$

$\tt{\implies \dfrac{a+b}{a-b} = \dfrac{4}{3}}$

$\sf\underline\orange{To\:find:-}$

$\tt{\implies \dfrac{a}{b}}$

$\sf\underline\orange{Solution:-}$

$\tt{\implies \dfrac{a+b}{a-b} = \dfrac{4}{3}}$

On cross multiplying the equation, we get:

$\tt{\implies 3(a+b) = 4(a-b)}$

$\tt{\implies 3a+3b = 4a-4b}$

$\tt{\implies 3a-4a = -4b-3b}$

$\tt{\implies -a = -7b}$

$\tt{\implies a = 7b}$

Let us substitute the value of a = 7b in:

$\tt{\implies \dfrac{a}{b}}$

$\tt{\implies \dfrac{7b}{b}}$

$\tt{\implies 7}$

Hence, the value of a/b is 7.