Kevin is 20 years older than his sister Joan.In 14 years,he will be twice as old as Joan.How old is of of them now?
Add 14 to their ages, and if Joan is x years old now, you have
x+20 + 14 = 2(x+14)
| Now |+ 14 years
------|------|------------------------
Kevin | x+20 |x+20+14;2(x+14
------|------|------------------------
Joan | x |x+14
------|------|------------------------
x+20+14= 2(x+14)
x+34= 2x+28
34-28=2x-x
x=6
x+20= 6+20= 26
So, Kevin is 26 while Joan is 6.
But, check my work.
So Substitute.
6+20+14 = 2(6+14)
40=12+28
40=40
I am right yay!!!!!
Let's solve this step by step.
Let's represent Joan's current age as X.
According to the given information, Kevin is 20 years older than Joan, so Kevin's current age is X + 20.
In 14 years, Joan's age will be X + 14, and Kevin's age will be (X + 20) + 14.
According to the second equation, Kevin will be twice as old as Joan in 14 years, so we can write the equation as follows:
(X + 20) + 14 = 2 * (X + 14)
Simplifying this equation, we get:
X + 34 = 2X + 28
Subtracting X from both sides, we get:
34 = X + 28
Subtracting 28 from both sides, we get:
6 = X
So, Joan's current age (X) is 6 years.
Kevin's current age is X + 20 = 6 + 20 = 26 years.
Therefore, Joan is currently 6 years old and Kevin is currently 26 years old.
To solve this problem, let's assign variables to the ages of Kevin and Joan:
Let's say Kevin's age is "K" and Joan's age is "J".
Given that Kevin is 20 years older than Joan, we can write the equation: K = J + 20.
In 14 years, Kevin will be K + 14 years old, and Joan will be J + 14 years old. According to the problem, Kevin will be twice as old as Joan at that time. This can be written as: K + 14 = 2*(J + 14).
Now we have two equations:
1. K = J + 20
2. K + 14 = 2*(J + 14)
To solve this system of equations, we can substitute the value of K from the first equation into the second equation:
(J + 20) + 14 = 2*(J + 14)
Simplifying this equation:
J + 34 = 2J + 28
Subtracting J from both sides:
34 = J + 28
Subtracting 28 from both sides:
6 = J
So, Joan's current age is 6 years.
We can substitute this value back into the first equation to find Kevin's current age:
K = J + 20
K = 6 + 20
K = 26
Therefore, Joan is currently 6 years old and Kevin is currently 26 years old.