Question 1209778: Flores is is 13yrs younger than Rivero In 8 yrs. the sum of their age will be 41. How old is Flores?
Answer by CPhill(1959)   (Show Source):
You can put this solution on YOUR website! Let's solve this problem step-by-step.
**1. Define Variables**
* Let F be Flores' current age.
* Let R be Rivero's current age.
**2. Translate the First Sentence into an Equation**
* "Flores is 13 years younger than Rivero": F = R - 13
**3. Translate the Second Sentence into an Equation**
* "In 8 years":
* Flores' age will be F + 8.
* Rivero's age will be R + 8.
* "The sum of their ages will be 41": (F + 8) + (R + 8) = 41
**4. Simplify the Second Equation**
* F + 8 + R + 8 = 41
* F + R + 16 = 41
* F + R = 41 - 16
* F + R = 25
**5. Solve the System of Equations**
We have two equations:
* F = R - 13
* F + R = 25
Substitute the first equation into the second equation:
* (R - 13) + R = 25
* 2R - 13 = 25
* 2R = 25 + 13
* 2R = 38
* R = 19
Now, substitute R = 19 back into the first equation:
* F = 19 - 13
* F = 6
**6. Answer the Question**
We are asked to find Flores' age, which is F.
**Therefore, Flores is 6 years old.**
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