The sum of Joy's age and her brother's age is 24. Her brother's age is 3 years older than twice Joy's age. What is the difference, in years, between Joy's age and her brother's age?
let x= Joy's age
2x+3= Joys brother's age
x+(2x+3)=24
3x+3=24
-3 -3
3x=21
- -
3 3
x=7
:. 2x+3
2(7)+3
14+3
17
:.17-7
10
:. The difference in their ages is 10.
The substitution method is applied to get their ages.
The difference between Joy's age and her brother's age is 10.
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
The sum of Joy's age and her brother's age is 24.
Her brother's age is 3 years older than twice Joy's age.
To find
The difference between Joy's age and her brother's age.
Let, x be Joy's age and y be her brother's age.
Then according to the first condition.
x + y = 24 ...(1)
And according to the second condition.
2x + 3 = y ...(2)
On solving equations 1 and 2. We get
x + 2x + 3 = 24
x = 7
Then
y = 2x + 3
y = 17
Then, the difference between Joy's age and her brother's age.
y - x = 17 - 7 = 10
Thus, the difference between Joy's age and her brother's age is 10.
More about the linear system link is given below.
https://brainly.com/question/20379472