ExamVeda
Login
Home

If frac a 3 = frac b 2 text &nbsp then...

This question belongs to Arithmetic Ability Algebra
Algebra
?

If $$\frac{a}{3} = \frac{b}{2}{\text{,}}$$   then the value of $$\frac{{2a + 3b}}{{3a - 2b}}\,{\text{is?}}$$

Answer & Solution
Correct Answer: Option A
$$\eqalign{ & \frac{a}{3} = \frac{b}{2} \Rightarrow \frac{a}{b} = \frac{3}{2} \cr & \therefore \frac{{2a + 3b}}{{3a - 2b}} \cr & = \frac{{2 \times 3 + 3 \times 2}}{{3 \times 3 - 2 \times 2}} \cr & = \frac{{6 + 6}}{{9 - 4}} \cr & = \frac{{12}}{5} \cr} $$
Examveda
Question posted by Examveda
Community

Join the Discussion

No comments yet Be the first to discuss this question.
Keep Learning

Related Questions on Algebra

If a * b = 2a - 3b + ab, then 3 * 5 + 5 * 3 is equal to?
A. 22 B. 24 C. 26 D. 28
If $$p \times q = p + q + \frac{p}{q}{\text{,}}$$    then the value of 8 × 2 is?
A. 6 B. 10 C. 14 D. 16
The value of $$\left( {{\text{1 + }}\frac{1}{x}} \right)$$ $$\left( {{\text{1 + }}\frac{1}{{x + 1}}} \right)$$  $$\left( {{\text{1 + }}\frac{1}{{x + 2}}} \right)$$  $$\left( {{\text{1 + }}\frac{1}{{x + 3}}} \right)$$   is?
A. $$1 + \frac{1}{{x + 4}}$$ B. x + 4 C. $$\frac{1}{x}$$ D. $$\frac{{x + 4}}{x}$$
If $$\frac{a}{b}{\text{ = }}\frac{2}{3}$$   and $$\frac{b}{c}{\text{ = }}\frac{4}{5}{\text{,}}$$   then the ration $$\frac{{a + b}}{{b + c}}$$   equal to?
A. $$\frac{{20}}{{27}}$$ B. $$\frac{{27}}{{20}}$$ C. $$\frac{6}{8}$$ D. $$\frac{8}{6}$$
More Related Questions on Algebra