If 2a - b-a - 4b - 3- then find the value of a - b-a - 2b-

The correct option is C 10/9 2a + b/a + 4b = 33 ⇒ 2a + b = 3a + 12 b ⇒ a = 11b ⇒ #160;a/b = 11 Now, a + b/a + 2b = a/b + 1/a/b + 2 = ...

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Byju's Answer

Standard VI

Mathematics

Addition of Fractions

If 2a + b/a...

Question

If $\frac{2 a + b}{a + 4 b} = 3$ , then find the value of $\frac{a + b}{a + 2 b}$ .

\frac{5}{9}

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\frac{2}{7}

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\frac{10}{9}

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\frac{10}{7}

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Solution

The correct option is C $\frac{10}{9}$
$\frac{2 a + b}{a + 4 b} = 33 \Rightarrow 2 a + b = 3 a + 12 b$
$\Rightarrow a = - 11 b \Rightarrow \frac{a}{b} = - 11$

Now, $\frac{a + b}{a + 2 b} = \frac{\frac{a}{b} + 1}{\frac{a}{b} + 2} = \frac{- 11 + 1}{- 11 + 2} = \frac{- 10}{- 9} = \frac{10}{9}$

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If 2a+ba+4b=3, then find the value of a+ba+2b.

The correct option is C 1092a+ba+4b=33⇒2a+b=3a+12b⇒a=−11b⇒ab=−11Now, a+ba+2b=ab+1ab+2=−11+1−11+2=−10−9=109

If $\frac{2 a + b}{a + 4 b} = 3$ , then find the value of $\frac{a + b}{a + 2 b}$ .

The correct option is C $\frac{10}{9}$
$\frac{2 a + b}{a + 4 b} = 33 \Rightarrow 2 a + b = 3 a + 12 b$
$\Rightarrow a = - 11 b \Rightarrow \frac{a}{b} = - 11$

Now, $\frac{a + b}{a + 2 b} = \frac{\frac{a}{b} + 1}{\frac{a}{b} + 2} = \frac{- 11 + 1}{- 11 + 2} = \frac{- 10}{- 9} = \frac{10}{9}$