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.

Answer Link

jainveenamrata jainveenamrata · Answer 2 · 2022-02-15T13:19:16+01:00

The substitution method is applied to get their ages.

The difference between Joy's age and her brother's age is 10.

What is the linear system?

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