Michael is three times as old as Margaret, and in 6 years he will be twice as old as her. How old was Michael when Margaret was born?

Answer:12 years oldStep-by-step explanation:m = Michaela = Margaretm = 3am+6 = 2(a+6) m+6 = 2a+12Two equations, two unknowns, so we can use substitution.3a+6 = 2a+12a+6 = 12a = 6Plug it back in.m = 3(6)m = 18When Michael was 18, Margaret was 6. So when she was born (basically when she was 0) Michael was 18-6 = 12.