Answer:
Difference between Joyce's and her brothers age is 10 years.
Step-by-step explanation:
Let,
x be the age of Joyce
y be the age of her brother
According to given statement;
x+y=24 Eqn 1
y = 2x+3 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
x+2x+3=24
3x=24-3
3x=21
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{21}{3}\\x=7[/tex]
Putting x=7 in Eqn 2
y = 2(7) + 3
y = 14+3
y = 17
Difference = 17 - 7 = 10 years
Hence,
Difference between Joyce's and her brothers age is 10 years.
