Question

if 0.42a=0.00224b,then find a-b/a+b

Answer 1

Answer:

if 0.42a=0.00224b,then find a-b/a+b

Answer 2

Given,

$\[0.42a = 0.00224b\]$

Solution,

$\[0.42a = 0.00224b\]$

$\[ \Rightarrow \frac{a}{b} = \frac{{0.00224}}{{0.42}}\]$

Apply Componendo and Dividendo rule,

$\[ \Rightarrow \frac{{a + b}}{{a - b}} = \frac{{0.00224 + 0.42}}{{0.00224 - 0.42}}\]$

$\[ \Rightarrow \frac{{a + b}}{{a - b}} = \frac{{0.42224}}{{ - 0.41776}}\]$

$\[ \Rightarrow \frac{{a - b}}{{a + b}} = \frac{{ - 0.41776}}{{ 0.42224}}\]$

Hence the value of $\[\frac{{a - b}}{{a + b}}\]$ is $\[\frac{{ - 0.41776}}{{0.42224}}\]$.