If 6A = 14B then the ratio of A/7 to B/6 is: Option 1: 1:1 Option 2: 1:2 Option 3: 2:1 Option 4: 6:7

Answer: 2:1. Solution: From 6A = 14B, A/B = 14/6 = 7/3. (A/7)/(B/6) = 6A/7B = 6/7 x A/B = 6/7 x 7/3 = 2. So the ratio is 2:1.

Arithmetic

Ratio, Proportion & Variation

Easy

If 6A = 14B then the ratio of $\frac{A}{7}$ to $\frac{B}{6}$ is:

1:1

1:2

2:1

6:7

✅ Correct Option: 3

From $6A = 14B$ , $\frac{A}{B} = \frac{14}{6} = \frac{7}{3}$ .

$\frac{A/7}{B/6} = \frac{6A}{7B} = \frac{6}{7} \times \frac{A}{B} = \frac{6}{7} \times \frac{7}{3} = 2$ .

So the ratio is 2:1.

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Solution

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If 6A = 14B then the ratio of $\frac{A}{7}$ to $\frac{B}{6}$ is: