cloe is eight years less than four times as old as zeke. cloe is also than three times as old as zeke. how old is each?
Let x = Zeke's age.
4x - 8 = 3x
Solve for x for Zeke's age.
I hope this helps. Thanks for asking.
Let's assume Zeke's age as "x".
According to the given information, Cloe is eight years less than four times as old as Zeke. We can express this as:
Cloe = 4x - 8
Also, it is stated that Cloe is less than three times as old as Zeke, giving us:
Cloe < 3x
To determine the ages of Cloe and Zeke, we need to solve these two equations simultaneously. Since both equations involve Cloe, we can equate them to find Zeke's age.
4x - 8 = 3x
By subtracting 3x from both sides of the equation, we get:
x - 8 = 0
Adding 8 to both sides, we have:
x = 8
So, Zeke is 8 years old.
Now, substitute this value back into one of the original equations:
Cloe = 4(8) - 8
Cloe = 24
Therefore, Cloe is 24 years old.
To summarize, Zeke is 8 years old, while Cloe is 24 years old.
To solve this problem, we can set up a system of equations based on the given information.
Let's assume Zeke's age is represented by 'x'.
According to the first statement, Cloe is eight years less than four times as old as Zeke. So Cloe's age can be represented as 4x - 8.
According to the second statement, Cloe is also than three times as old as Zeke. So, Cloe's age can be represented as 3x.
Now we have two expressions for Cloe's age: 4x - 8 and 3x. Since they both represent Cloe's age, we can equate them to find the value of 'x'.
So, we have:
4x - 8 = 3x
Now, let's solve this equation:
4x - 3x = 8
x = 8
Now that we know Zeke's age is 8, we can substitute this value back into either of the two expressions to find Cloe's age.
Let's use the expression 4x - 8:
Cloe's age = 4x - 8
= 4 * 8 - 8
= 32 - 8
= 24
Therefore, Zeke is 8 years old, and Cloe is 24 years old.