Investing

In a post about twins and investing, if annual interest rate of a hypothetical investment is about 6%, then someone who starts contribution early with a lower total contribution can tie at retirement age with another who starts contribution later with a much higher total contribution. The time span of this investing career is 35 years. Does such an investment exists?

Suppose you have a twin. You start investing USD 10,000 annually for the next 10 years and then stop. At which point, your twin starts and also contributes USD 10,000 annually until retirement age. If no sales occur, who would have more money at age 65? How does the annual interest rate change the answer?