If 3a−5b/ 3a+5b =5, Then A:b Is Equal To

$\frac{3 a + 5 b}{3 a - 5 b} = 5 \Rightarrow 3 a + 5 b = 5 (3 a - 5 b)$
$\Rightarrow 3 a + 5 b = 15 a - 25 b \Rightarrow 12 a = 30 b$
$\Rightarrow \frac{a}{b} = \frac{3 0}{1 2} = \frac{5}{2} \Rightarrow a : b = 5 : 2$

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A father is 6 times as old as his son. After 6 years, the father's age will be 72. What is the age of his son now?

$\frac{3 a + 5 b}{3 a - 5 b} = 5 \Rightarrow 3 a + 5 b = 5 (3 a - 5 b)$
$\Rightarrow 3 a + 5 b = 15 a - 25 b \Rightarrow 12 a = 30 b$
$\Rightarrow \frac{a}{b} = \frac{3 0}{1 2} = \frac{5}{2} \Rightarrow a : b = 5 : 2$

Related MCQs

3a−5b3a+5b​=5⇒3a+5b=5(3a−5b)⇒3a+5b=15a−25b⇒12a=30b⇒ba​=1230​=25​⇒a:b=5:2

Related MCQs

$\frac{3 a + 5 b}{3 a - 5 b} = 5 \Rightarrow 3 a + 5 b = 5 (3 a - 5 b)$
$\Rightarrow 3 a + 5 b = 15 a - 25 b \Rightarrow 12 a = 30 b$
$\Rightarrow \frac{a}{b} = \frac{3 0}{1 2} = \frac{5}{2} \Rightarrow a : b = 5 : 2$