Question
The sum of the ages of Nicole and Kristin is 32. In two years, Nicole will be three times as old as Kristin. How old are they now?
The sum of the ages of Nicole and Kristin is 32. In two years, Nicole will be three times as old as Kristin. How old are they now?
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Koala Tutor
Koala Ai Support
Let's assume Nicole's age is x now.
So, Kristin's age is (32 - x).
After 2 years, Nicole's age will be x + 2, and Kristin's age will be (32 - x) + 2.
According to the problem, Nicole's age will be three times Kristin's age after 2 years.
So, the equation will be written as:
x + 2 = 3((32 - x) + 2)
x + 2 = 3*(34 - x)
x + 2 = 102 - 3x
4x = 100
x = 25
So, Nicole's age is 25, and Kristin's age is 32 - 25 = 7