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Answer :
To determine their ages, the substitution approach is used.
Joy's age and her brother's age are differed by 10 years.
What is linear system?
It is an system of equation where the maximum power of the variable is consistently 1. a single-dimensional object with no breadth. It consists of an endless number of dots placed side by side.
Given
The combined ages of Joy and her brother total 24.
Joy's older brother is three years older than twice his age she is.
To locate
Joy's age as compared to that of her brother.
Assume that Joy is x years old and her brother is y.
then in line with the first circumstance.
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.
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