Question
Jan Villaroel
Topic: Algebra Posted 1 year ago
Tom is 3 times as old as Jane. In 10 years, their combined age will be 80. How old are they currently?

Tom is 3 times as old as Jane. In 10 years, their combined age will be 80. How old are they currently?


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Koala Tutor
Oct 19, 2023
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Let's represent Jane's current age as J.
Tom's age is 3*J.
In ten years, Jane will be J+10 years old, and Tom will be 3*J+10.
The sum of their ages in ten years is J+10+3*J+10 = 4*J+20, which is equal to 80.
So, we have the equation 4*J+20=80.
Subtracting 20 from both sides gives 4*J=60.
Dividing both sides by 4 gives J=60/4=15 years old.
So, Tom is 3*15=<<3*15=45>>45 years old. Answer: \boxed{15, 45}.

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