Rose is 5 years and Jade is 14 years old.
Step-by-step explanation:
Let,
Rose's age = x
Jade's age = y
According to the statement;
x + 9 = y Eqn 1
In four years' time;
y + 4 = 2(x+4)
y + 4 = 2x + 8
y = 2x + 4 Eqn 2
Putting value of y from eqn 1 into eqn 2;
[tex]x+9=2x=4\\2x-x=5\\2x-x=5\\x=5[/tex]
Now adding value of x in eqn 1;
[tex]y=5+9\\y=14[/tex]
Thus,
Rose is 5 years and Jade is 14 years old.
Keywords: Linear equations, Subtraction.
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