Louis is 6years older than Karin and karin is 4year older than Heidi.the sum of their ages is 53 years.how old is karin
k + (k+6) + (k-4) = 53
k = 17
Let's break down the information given step by step:
1. Let's assume Heidi's age as x.
2. Karin is 4 years older than Heidi, so Karin's age would be x + 4.
3. Louis is 6 years older than Karin, so Louis's age would be (x + 4) + 6.
The sum of their ages is 53 years, so we can write the equation:
x + (x + 4) + ((x + 4) + 6) = 53.
Simplifying the equation:
3x + 14 = 53.
Subtracting 14 from both sides:
3x = 39.
Dividing both sides by 3:
x = 13.
Therefore, Karin's age is x + 4, which is 13 + 4 = 17 years old.
To find Karin's age, let's solve the problem step by step.
Let's assume Karin's age as x.
According to the problem, Louis is 6 years older than Karin. So Louis's age is x + 6.
And it is also mentioned that Karin is 4 years older than Heidi. So Heidi's age is x - 4.
The sum of their ages is given as 53 years. So, the equation to represent this information is:
x + (x + 6) + (x - 4) = 53
Now, let's solve this equation to find the value of x, which represents Karin's age.
Combining like terms, the equation becomes:
3x + 2 = 53
Subtracting 2 from both sides of the equation:
3x = 53 - 2
3x = 51
Now, divide both sides of the equation by 3 to solve for x:
x = 51 / 3
x = 17
Therefore, Karin is 17 years old.