If mike is 6 years old and twice as old as his brother then how old will he be when he is one and a half his brothers age?

If Mike is 6 years old and twice as old as his brother, then his brother is 3 years old. When Mike is one and a half times his brother's age (1.5 * 3 = 4.5), he will be 4.5 years older than his brother. Therefore, Mike will be 6 + 4.5 = 10.5 years old when he is one and a half times his brother's age.