Age Problem: Ahmed and Kayla
Let’s solve an age-related problem involving Ahmed and Kayla.
Given Information:
Ahmed is 28 years younger than Kayla. 8 years ago, Kayla’s age was 2 times Ahmed’s age.
Table:
| Name | Age Now (in years) | Age 8 Years Ago (in years) |
|---|---|---|
| Ahmed | x (Ahmed’s current age) | x – 8 (Ahmed’s age 8 years ago) |
| Kayla | x + 28 (Kayla’s current age) | (x + 28) – 8 (Kayla’s age 8 years ago) |
Explanations:
The expressions in the table are constructed as follows:
- x represents Ahmed’s current age.
- x – 8 represents Ahmed’s age 8 years ago, calculated by subtracting 8 from Ahmed’s current age.
- x + 28 represents Kayla’s current age, which is Ahmed’s age plus 28.
- (x + 28) – 8 represents Kayla’s age 8 years ago, calculated by subtracting 8 from Kayla’s current age.
Equation and Solution:
We’ll use the equation K – 8 = 2 * (A – 8) to solve for Ahmed’s and Kayla’s ages.
Given: Ahmed’s current age A = x, Kayla’s current age K = x + 28
8 years ago, Kayla’s age was 2 times Ahmed’s age:
(x + 28) – 8 = 2 * (x – 8)
Solving for x:
(x + 28) – 8 = 2 * (x – 8)
x + 20 = 2x – 16
x – 2x = -16 – 20
-x = -36
x = 36
So, Ahmed’s current age (A) is 36 years, and Kayla’s current age (K) is x + 28 = 36 + 28 = 64 years.
Age Problem: Ahmed and Kayla
Let’s solve an age-related problem involving Ahmed and Kayla.
Given Information:
Ahmed is 28 years younger than Kayla. 8 years ago, Kayla’s age was 2 times Ahmed’s age.
Table:
| Name | Age Now (in years) | Age 8 Years Ago (in years) |
|---|---|---|
| Ahmed | x – 28 (Ahmed’s current age) | (x – 28) – 8 (Ahmed’s age 8 years ago) |
| Kayla | x (Kayla’s current age) | x – 8 (Kayla’s age 8 years ago) |
Explanations:
The expressions in the table are constructed as follows:
- x – 28 represents Ahmed’s current age, which is 28 years younger than Kayla’s age (x).
- (x – 28) – 8 represents Ahmed’s age 8 years ago, calculated by subtracting 8 from Ahmed’s current age.
- x represents Kayla’s current age.
- x – 8 represents Kayla’s age 8 years ago, calculated by subtracting 8 from Kayla’s current age.
Equation and Solution:
We’ll use the equation K – 8 = 2 * (A – 8) to solve for Ahmed’s and Kayla’s ages.
Given: Ahmed’s current age A = x – 28, Kayla’s current age K = x
8 years ago, Kayla’s age was 2 times Ahmed’s age:
(x) – 8 = 2 * ((x – 28) – 8)
Solving for x:
x – 8 = 2 * (x – 36)
x – 8 = 2x – 72
x – 2x = -72 + 8
-x = -64
x = 64
So, Ahmed’s current age (A) is 64 – 28 = 36 years, and Kayla’s current age (K) is 64 years.
Age Problem: Ahmed and Kayla
Let’s solve an age-related problem involving Ahmed and Kayla.
Given Information:
Ahmed is 28 years younger than Kayla. 8 years ago, Kayla’s age was 2 times Ahmed’s age.
Table:
| Name | Age Now (in years) | Age 8 Years Ago (in years) |
|---|---|---|
| Ahmed | x – 28 (Ahmed’s current age) | (x – 28) – 8 (Ahmed’s age 8 years ago) |
| Kayla | x (Kayla’s current age) | x – 8 (Kayla’s age 8 years ago) |
Explanations:
The expressions in the table are constructed as follows:
- x – 28 represents Ahmed’s current age, which is 28 years younger than Kayla’s age (x).
- (x – 28) – 8 represents Ahmed’s age 8 years ago, calculated by subtracting 8 from Ahmed’s current age.
- x represents Kayla’s current age.
- x – 8 represents Kayla’s age 8 years ago, calculated by subtracting 8 from Kayla’s current age.
Equation and Solution:
We’ll use the equation K – 8 = 2 * (A – 8) to solve for Ahmed’s and Kayla’s ages.
Given: Ahmed’s current age A = x – 28, Kayla’s current age K = x
8 years ago, Kayla’s age was 2 times Ahmed’s age:
x – 8 = 2 * ((x – 28) – 8)
Solving for x:
x – 8 = 2 * (x – 36)
x – 8 = 2x – 72
x – 2x = -72 + 8
-x = -64
x = 64
So, Ahmed’s current age (A) is 64 – 28 = 36 years, and Kayla’s current age (K) is 64 years.