Dr. bolton was born in an interesting year. the tens digits was twice the thousands digits, the ones digits was three times the tens digits, and the hundreds digits was equal to the sum of the other three digits. in what year was he born?

Dr. Bolton was born in 1926.

Work: 

Let x be the thousands digit. So, you will have the tens digit be 2x, the ones digit be 6x, and the hundreds digit be 9x. Now, let's try x as 1. Then, you will have the thousands digit be 1, the tens digit be 2, the ones digit be 6, and the hundreds digit be 9. Hope it helps!