Math, asked by sushilmehto, 5 months ago

Q.15 If (За + 5b): (За - 5b) = 5:1 1 point
then a: b = ?​

Answers

Answered by prabhas24480
1

Answer ⤵️

We can either use cross multiplication or componendo and dividendo.

Method - 1

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

Therefore, a : b = 5 : 2

Method - 2

\frac{3a + 5b}{3a - 5b}  =  \frac{5}{1}  \\  \\ \frac{(3a + 5b) + (3a - 5b)}{(3a + 5b)  - (3a - 5b)}  =  \frac{5 + 1}{5 - 1}  \\  \\  \frac{6a}{10b}  =  \frac{6}{4}  \\  \\  \frac{ a}{b}  =  \frac{10}{4}  \\  \\  \frac{a}{b}  =  \frac{5}{2}

Therefore, a : b = 5 : 2

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