Age problem
Rando is 33 years older than has son Juan eight years ago, Rando's age is five more than trice Juan's present age. How old is Rando now?
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Age problem
Rando is 33 years older than has son Juan eight years ago, Rando's age is five more than trice Juan's present age. How old is Rando now?
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Step-by-step explanation:
Let's begin by using variables to represent the ages of Rando and his son Juan.
Let R = Rando's current age
Let J = Juan's current age
We know from the problem that Rando is 33 years older than his son Juan was eight years ago. This can be expressed as:
R = J + 33
We also know that Rando's current age is five more than three times Juan's present age. This can be expressed as:
R = 3J + 5
Now we can set these two equations equal to each other and solve for J, Juan's current age:
J + 33 = 3J + 5
2J = 28
J = 14
So Juan is currently 14 years old. We can use this information to find Rando's current age:
R = J + 33
R = 14 + 33
R = 47
Therefore, Rando is currently 47 years old.