Question

Two numbers Aand B are such that rhe sum of 5% of A and 4% of B is 2/3 of the sum of 6% A and 8% of B find the ratio of A and B​

Answer 1

The ratio of A and B is: 4:3

Step-by-step explanation:

Let the two numbers be

A and B

According to given statement

sum of 5% of A and 4% of B

5% of A will be 0.05A

4% of B will be 0.04B

Now,

0.05A+0.04B

2/3 of the sum of 6% A and 8% of B

2/3(0.06A+0.08B)

Putting both expressions equal

$0.05A+0.04B=\frac{2}{3}(0.06A+0.08B)\\Multiplying\ whole\ equation\ by\ 3\\3(0.05A+0.04B)=3*\frac{2}{3}(0.06A+0.08B)\\0.15A+0.12B=2(0.06A+0.08B)\\0.15A+0.12B=0.12A+0.16B\\0.15A-0.12B = 0.16B-0.12B\\0.03A=0.04B\\\frac{A}{B} = \frac{0.04}{0.03}\\\frac{A}{B} = \frac{4*100}{3*100}\\\frac{A}{B} = \frac{4}{3}$

The ratio of A and B is: 4:3

Keywords: Ratio, Percentage

Learn more about ratio at:

• brainly.com/question/10435836
• brainly.com/question/10541435

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