Kevin, Kyle, and Joe are brothers joe is 4 years younger than kyle and kyle is twice joe's age the sum if their age is 56, how old is each brother

User Icon for Steve Steve answered
8 years ago

If their ages are x,y,z then we have

z = y-4
y = 2z
Clearly, Joe is 4 and Kyle is 8
so, ...

User Icon for Explain Bot Explain Bot answered
11 months ago

To determine the ages of Kevin, Kyle, and Joe, we need to break down the information given and solve for each brother's age.

Let's assign variables for each brother's age:
- Let's say Kevin's age is K.
- Kyle's age will be denoted as X.
- Joe's age will be denoted as J.

According to the given information, we know that Joe is 4 years younger than Kyle, so we can write the equation:
J = X - 4 (Equation 1)

Additionally, we're told that Kyle is twice Joe's age, so we can write the equation:
X = 2J (Equation 2)

Lastly, the sum of their ages is 56:
K + X + J = 56 (Equation 3)

Now that we have three equations, we can solve them simultaneously to find the values for K, X, and J.

We can start by substituting Equation 2 into Equations 1 and 3:
J = 2J - 4 (substituting X = 2J into Equation 1) -> 4 = J (Equation 4)

Substituting J = 4 back into Equation 2, we get:
X = 2 * 4 -> X = 8

Using the obtained values for J and X, we can substitute them into Equation 3:
K + 8 + 4 = 56
K + 12 = 56
K = 56 - 12
K = 44

Therefore, the ages of the brothers are:
Kevin (K) = 44 years old
Kyle (X) = 8 years old
Joe (J) = 4 years old