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If a : b =3...

Question

If $a : b = 3 : 5$ , find :
$(10 a + 3 b) : (5 a + 2 b)$

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Solution

Let $a = 3 x, b = 5 x$

$\Rightarrow (10 a + 3 b) : (5 a + 2 b) = (30 x + 15 x) : (15 x + 10 x) = 45 x : 25 x = 9 : 5$

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(10 a + 3 b) : (5 a + 2 b)

(3 a + 2 b) : (5 a + 3 b) = 18 : 29

a : b

a : b = 3 : 5

(3 a + 5 b) : (7 a - 2 b) .

\frac{a}{b} = \frac{7}{3}

, then find the value of

\frac{5 a + 3 b}{5 a - 3 b}

.

a : b = \frac{2}{3}

, then find the value of

\frac{a + 2 b}{a - 3 b}

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