Question
Mary is currently 5 years older than twice the age of her son. If the sum of their ages is 55, how old is Mary and her son?
Mary is currently 5 years older than twice the age of her son. If the sum of their ages is 55, how old is Mary and her son?
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Koala Tutor
Koala Ai Support
Let's suppose the son's age is x.
Since Mary is currently 5 years older than twice the age of her son, Mary's age is 2x+5.
The sum of their ages is 55 so x+(2x+5)=55.
Combining like terms, we get 3x+5=55.
Subtracting 5 from both sides, we get 3x=50.
Dividing both sides by 3, we get x=50/3=<<50/3=16.67>>16.67
Mary's age is 2(16.67) + 5 = <<2*16.67+5=38.34>>38.34 years old.
Mary's son is 16.67 years old. Answer: \boxed{16.67, 38.34}.