Travis is
19 years older than his sister Linda. In
4 years, he will be twice as old as Linda. How old is each of them now?
Well, it appears Travis and Linda are playing a game of "age and seek"! Let's solve this mystery together. Let's say Linda's age is "x" (because who doesn't love algebraic equations?) So, if Travis is 19 years older, we can represent Travis' age as "x + 19".
Now, fast forward 4 years. Linda's age will be "x + 4" (because birthdays wait for no one), and Travis' age will be "x + 19 + 4" (because time keeps ticking and aging us all). The problem tells us that Travis will be twice as old as Linda at that point. So, we can set up an equation:
x + 19 + 4 = 2(x + 4)
Now, let's solve this equation and find out the ages of this dynamic sibling duo!
Let's solve this step by step.
Let's assume Linda's age is "x" years.
According to the given information, Travis is 19 years older than Linda, so Travis' age can be represented as "x + 19" years.
In 4 years, Linda's age will be "x + 4" years, and Travis' age will be "x + 19 + 4" years, which simplifies to "x + 23" years.
According to the problem, Travis will be twice as old as Linda in 4 years, so we can write the equation as follows:
x + 23 = 2(x + 4)
Let's solve the equation step by step:
x + 23 = 2x + 8 (Distribute 2 to the terms inside the parentheses)
x - 2x = 8 - 23 (Subtract x from both sides)
-x = -15 (Combine like terms)
x = 15 (Divide both sides by -1)
So, Linda's current age is 15 years.
To find Travis' age, we substitute the value of x back into the equation:
Travis' age = x + 19
Travis' age = 15 + 19
Travis' age = 34
Therefore, Linda is currently 15 years old, and Travis is currently 34 years old.
To solve this problem, we can set up a system of equations.
Let's assume Linda's current age is x.
According to the problem, Travis is 19 years older than Linda, so Travis's current age is x + 19.
In 4 years, Linda will be x + 4 years old, and Travis will be (x + 19) + 4 = x + 23 years old.
The problem states that in 4 years, Travis will be twice as old as Linda. This can be written as the equation: x + 23 = 2(x + 4).
Now, let's solve the equation:
x + 23 = 2x + 8
x - 2x = 8 - 23
-x = -15
x = 15
So Linda's current age is 15 years old.
Travis's current age can be calculated by adding Linda's age to the age difference between them:
Travis's current age = Linda's age + Age difference = 15 + 19 = 34 years old.
Therefore, Linda is 15 years old, and Travis is 34 years old.
T = L + 19
T + 4 = 2 (L+4)
===================
L+19 + 4 = 2 L + 8
L = 15
T = 34