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