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​

The ratio of A and B is: 4:3Step-by-step explanation:Let the two numbers beA and BAccording to given statementsum of 5% of A and 4% of B5% of A will be 0.05A4% of B will be 0.04BNow,0.05A+0.04B2/3 of the sum of 6% A and 8% of B2/3(0.06A+0.08B)Putting both expressions equal[tex]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}[/tex]The ratio of A and B is: 4:3Keywords: Ratio, PercentageLearn more about ratio at:brainly.com/question/10435836brainly.com/question/10541435#LearnwithBrainly