Q:

Natalie is five times as old as Brandon. In 12 years, she will be twice as old as Brandon will be then. How old are they now?

Accepted Solution

A:
Natalie is 20 years old and Brandon is 4 years old now.Step-by-step explanation:Let,Natalie's age = xBrandon's age = yAs Natalie is five times as old as Brandon;x=5y Β  Eqn 1In 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, subtractionLearn more about subtraction at:brainly.com/question/3398261brainly.com/question/3614284#LearnwithBrainly