Question

please answer the above​

Answer 1

$\LARGE{ \underline{ \purple{ \sf{Required \: answer:}}}}$

Here, a ratio is given and we have to find another ratio in the same variable that is a and b.

• $\sf{ \dfrac{2a + b}{a + 4b} = 3}$

Cross multiplying the above equation,

➝ 2a + b = 3(a + 4b)

Opening the parentheses in RHS,

➝ 2a + b = 3a + 12b

➝ 2a - 3a = 12b - b

➝ -a = 11b

➝ a = -11b ----------(1)

We have to find the value of:

• $\sf{ \dfrac{a + b}{a + 2b} }$

Putting the value of a from eq. (1),

➝ -11b + b / -11b + 2b

➝ -10b / -9b

Now b is in numerator and denominator, So we can cancel it and finally we will get:

$\large{\therefore{ \boxed{ \red{ \dfrac{10}{9} }}}}$

Thus, the Correct answer is Option D

And we are done !!