Question 1209777: 01. Manalo is 28 yrs. older than Velasco. In 6years. Manalo will be three times as old as Velasco. How old is Manalo now?
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 M be Manalo's current age.
* Let V be Velasco's current age.
**2. Translate the First Sentence into an Equation**
* "Manalo is 28 years older than Velasco": M = V + 28
**3. Translate the Second Sentence into an Equation**
* "In 6 years":
* Manalo's age will be M + 6.
* Velasco's age will be V + 6.
* "Manalo will be three times as old as Velasco": M + 6 = 3(V + 6)
**4. Simplify the Second Equation**
* M + 6 = 3V + 18
* M = 3V + 12
**5. Solve the System of Equations**
We have two equations:
* M = V + 28
* M = 3V + 12
Since both equations equal M, we can set them equal to each other:
* V + 28 = 3V + 12
* 28 - 12 = 3V - V
* 16 = 2V
* V = 8
Now, substitute V = 8 back into the first equation:
* M = 8 + 28
* M = 36
**6. Answer the Question**
We are asked to find Manalo's current age, which is M.
**Therefore, Manalo is 36 years old.**
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