Final answer:
To determine Nina's age four years from now, we calculate that Sam will be 63 in four years and will be 7 times as old as Nina. Dividing 63 by 7 tells us that Nina is 9 years old currently, and adding 4 years means Nina will be 13 in four years.
Step-by-step explanation:
The question is asking us to determine Nina's age 4 years from now, given that Sam, who is currently 59, will be 7 times as old as Nina after 4 years. Let's solve it step-by-step:
First, we find out how old Sam will be in 4 years: 59 + 4 = 63 years old.
Next, we know that at that time Sam will be 7 times older than Nina. Therefore, we can write the equation: 63 = 7 * Nina's age.
To find Nina's age, we divide both sides by 7: Nina's age = 63 / 7 = 9 years old.
Finally, we add 4 years to Nina's current age to find how old she'll be in 4 years: 9 + 4 = 13 years old.
So, Nina will be 13 years old in 4 years.