Kevin 4
Kevin is 4 years older than Margaret. Next year Kevin will be 2 times as old as Margaret. How old is Kevin?
Correct answer:

Showing 1 comment:
Math student
Let's start by defining some variables. Let:
K be Kevin's current age.
M be Margaret's current age.
From the problem, we know that Kevin is 4 years older than Margaret, so we can write:
K = M + 4
We also know that next year Kevin will be 2 times as old as Margaret, so we can write:
K + 1 = 2(M + 1)
Simplifying this equation, we get:
K + 1 = 2M + 2
Substituting K = M + 4 from the first equation, we get:
M + 4 + 1 = 2M + 2
Simplifying this equation, we get:
M + 5 = 2M + 2
Subtracting M from both sides, we get:
5 = M + 2
Subtracting 2 from both sides, we get:
M = 3
Substituting M = 3 into the equation K = M + 4, we get:
K = 3 + 4 = 7
Therefore, Kevin is 7 years old.
To verify this solution, we can check that it satisfies the conditions of the problem. Kevin is 4 years older than Margaret, so we have K = M + 4, which gives K = 3 + 4 = 7. Next year, Kevin will be 8 years old, and Margaret will be 4 years old. This is indeed 2 times Margaret's age, as required by the problem. Therefore, the correct answer is that Kevin is 7 years old.
K be Kevin's current age.
M be Margaret's current age.
From the problem, we know that Kevin is 4 years older than Margaret, so we can write:
K = M + 4
We also know that next year Kevin will be 2 times as old as Margaret, so we can write:
K + 1 = 2(M + 1)
Simplifying this equation, we get:
K + 1 = 2M + 2
Substituting K = M + 4 from the first equation, we get:
M + 4 + 1 = 2M + 2
Simplifying this equation, we get:
M + 5 = 2M + 2
Subtracting M from both sides, we get:
5 = M + 2
Subtracting 2 from both sides, we get:
M = 3
Substituting M = 3 into the equation K = M + 4, we get:
K = 3 + 4 = 7
Therefore, Kevin is 7 years old.
To verify this solution, we can check that it satisfies the conditions of the problem. Kevin is 4 years older than Margaret, so we have K = M + 4, which gives K = 3 + 4 = 7. Next year, Kevin will be 8 years old, and Margaret will be 4 years old. This is indeed 2 times Margaret's age, as required by the problem. Therefore, the correct answer is that Kevin is 7 years old.
Tips for related online calculators
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
Do you want to convert time units like minutes to seconds?
Do you want to convert time units like minutes to seconds?
You need to know the following knowledge to solve this word math problem:
Units of physical quantities:
Grade of the word problem:
Related math problems and questions:
- Kevin and Mary
Kevin is 4 times as old as Mary was 2 years ago. In seven years Mary will be as old as Kevin is now. How old are they now.
- Fifteen 82121
The father is five times older than the son. The father will be twice as old as the son in fifteen years. How old is Dad now?
- Daughter 3610
A mother is six times older than her daughter. The mother will be twice as old as the daughter in twenty years. How old is the mother, and how many are the daughter?
- Father 7470
The father is eight years older than three times the son's age. In 20 years, the father will be twice as old as his son. How many years is a father, and how many are a son?
- Together 70014
Matej and Anton are 44 years old together. Matej is twice as old as Anton was when Matej was half as old as Anton will be when Anton is 3 times older than Matej was when Matej was 3 times as old as Anton.
- Age problems
A) Alex is three times as old as he was two years ago. How old is he now? b) Three years ago, Casey was twice as old as his sister. Now, he is five years older. How old is Casey? c) Jessica is four years younger than Jennifer now. In 10 years, Jessica wil
- Time passing
Six years ago, Marcela's mother was two times older than her and two times younger than her father. When Marcela is 36, she will be twice as young as her father. How old are Marcela, her father, and her mother now?