Natalie is 20 years old and Brandon is 4 years old now.
Step-by-step explanation:
Let,
Natalie's age = x
Brandon's age = y
As Natalie is five times as old as Brandon;
x=5y Eqn 1
In 12 years;
x+12=2(y+12)
[tex]x+12=2y+24\\Subtracting\ 12\ from\ both\ sides\\x+12-12=2y+24-12\\x=2y+12 \ \ \ Eqn\ 2\\Putting\ Eqn\ 1\ in\ Eqn\ 2\\5y=2y+12\\5y-2y=12\\3y=12\\Dividing\ both\ sides\ by\ 3\\\frac{3y}{3}=\frac{12}{3}\\y=4\\Putting\ y=4\ in\ Eqn\ 1\\x=5(4)\\x=20[/tex]
Natalie is 20 years old and Brandon is 4 years old now.
Keywords: Substitution method, subtraction
Learn more about subtraction at:
- brainly.com/question/3398261
- brainly.com/question/3614284
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