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Cloe is two years less than four times as old as Zeke. Cloe is also one year older than three times as old as Zeke. How old is Zeke?

Answer :

To find Zeke's age, we set up an equation based on the given conditions and solve for Zeke's age to get that Zeke is 3 years old.

Let's denote Zeke's age by z.

According to the question, Cloe is two years less than four times as old as Zeke, so Cloe's age is 4z - 2.

It's also stated that Cloe is one year older than three times Zeke’s age; hence, Cloe's age is also given by 3z + 1.

We can set up the equations to equate both expressions for Cloe's age:

4z - 2 = 3z + 1.

Now, we solve for z:

Subtract 3z from both sides: z - 2 = 1.

Add 2 to both sides: z = 3.

Therefore, Zeke is 3 years old.

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