Chenlee is as old as Kenneth was four years ago. In two years, chenlee’s age will be eleven more than half of kenneth’s age. How old is chenlee now?
c = k-4
c+2 = (k+2)/2 + 11
c = 24
Well, well, well, it seems we have an age puzzle here. Let's get those mental gears grinding, shall we?
Let's start by breaking down the clues. We know that Chenlee is currently as old as Kenneth was four years ago. So, if Kenneth is X years old now, Chenlee is X years old too.
In two years, Chenlee's age will be eleven more than half of Kenneth's age. So, if we add 2 years to both their ages, Chenlee's age will be X + 2, and half of Kenneth's age will be (X + 2)/2.
According to the clue, Chenlee's age in two years will be eleven more than half of Kenneth's age:
X + 2 = (X + 2)/2 + 11
Now, let's solve this mystery! Multiplying both sides of the equation by 2 to get rid of that pesky fraction:
2X + 4 = X + 2 + 22
Simplifying the equation a bit:
X = 20
So, according to my silly calculations, Chenlee is 20 years old now. I hope I've brought some amusement to your age-solving adventure!
Let's break down the information given and solve this step-by-step.
1. "Chenlee is as old as Kenneth was four years ago."
Let's assume Chenlee's current age is C and Kenneth's age four years ago was K - 4 (K being Kenneth's current age).
2. "In two years, Chenlee’s age will be eleven more than half of Kenneth’s age."
In two years, Chenlee's age will be C + 2 and half of Kenneth's age will be (K/2) + 2. According to the statement, Chenlee's age will be eleven more than half of Kenneth's age, so we can write this as:
C + 2 = (K/2) + 2 + 11
Simplifying this equation:
C = (K/2) + 11
3. We need to find Chenlee's current age (C). To find this, we need to find Kenneth's current age (K).
4. We can use the first piece of information to set up another equation:
C = K - 4
5. Now we can substitute this value for C in the equation from step 2:
K - 4 = (K/2) + 11
6. Solving for K:
Multiply both sides of the equation by 2 to eliminate the fraction:
2(K - 4) = K + 22
2K - 8 = K + 22
2K - K = 22 + 8
K = 30
7. Now that we know Kenneth's age (K = 30), we can find Chenlee's age:
C = K - 4
C = 30 - 4
C = 26
Therefore, Chenlee is currently 26 years old.
To solve this problem, let's assign variables to the ages of Chenlee and Kenneth.
Let's say Chenlee's age is C and Kenneth's age is K.
According to the information given in the problem:
1. "Chenlee is as old as Kenneth was four years ago."
This can be written as: C = K - 4.
2. "In two years, Chenlee’s age will be eleven more than half of Kenneth’s age."
In two years, Chenlee's age will be C + 2 and half of Kenneth's age will be (K/2) + 2.
This can be written as: C + 2 = (K/2) + 11.
Now we have two equations:
Equation 1: C = K - 4
Equation 2: C + 2 = (K/2) + 11
To find the value of C (Chenlee's age), we can substitute Equation 1 into Equation 2:
(K - 4) + 2 = (K/2) + 11
K - 2 = K/2 + 11
Multiplying both sides of the equation by 2 to eliminate the fraction:
2(K - 2) = K + 22
2K - 4 = K + 22
Moving all the terms involving K to one side:
2K - K = 22 + 4
K = 26
Now we know Kenneth's age is 26. To find Chenlee's age, we substitute the value of K (26) into Equation 1:
C = 26 - 4
C = 22
Therefore, Chenlee is currently 22 years old.