If 5 a-2 b-5 a-2 b-5-3- then a - b-

The correct option is D 8/5 5a+2b/5a 2b =5/3 5a + 2b + 5a 2b/5a + 2b 5a + 2b =5 + 3/5 3 [Applying componendo and dividendo] 10 a/4b = 8/2 2(5a)/2(2b) ...

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Byju's Answer

Standard IX

Mathematics

Componendo and Dividendo Rule

If 5 a+2 b/5 ...

Question

If $\frac{5 a + 2 b}{5 a - 2 b} = \frac{5}{3}$ , then a : b =

$\frac{8}{3}$

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$\frac{8}{5}$

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$\frac{5}{8}$

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$\frac{3}{8}$

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Solution

The correct option is B
$\frac{8}{5}$

$\frac{5 a + 2 b}{5 a - 2 b} = \frac{5}{3}$

$\frac{5 a + 2 b + 5 a - 2 b}{5 a + 2 b - 5 a + 2 b} = \frac{5 + 3}{5 - 3}$ [Applying componendo and dividendo]

$\frac{10 a}{4 b} = \frac{8}{2}$

$\frac{2 (5 a)}{2 (2 b)} = \frac{8}{2}$

$\frac{a}{b} = \frac{8}{5}$

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If 5a+2b5a−2b=53, then a : b =

The correct option is B 85 5a+2b5a−2b=53 5a+2b+5a−2b5a+2b−5a+2b=5+35−3 [Applying componendo and dividendo] 10a4b=82 2(5a)2(2b)=82 ab=85

If $\frac{5 a + 2 b}{5 a - 2 b} = \frac{5}{3}$ , then a : b =

The correct option is B
$\frac{8}{5}$

$\frac{5 a + 2 b}{5 a - 2 b} = \frac{5}{3}$

$\frac{5 a + 2 b + 5 a - 2 b}{5 a + 2 b - 5 a + 2 b} = \frac{5 + 3}{5 - 3}$ [Applying componendo and dividendo]

$\frac{10 a}{4 b} = \frac{8}{2}$

$\frac{2 (5 a)}{2 (2 b)} = \frac{8}{2}$

$\frac{a}{b} = \frac{8}{5}$