Question

Cameron is twice as old as Emily. Taylor is four less than four times the age of Emily. Their total age is two more than nine times the age of Emily. How old is Taylor?

Answer 1

Taylor is 20 years old.

Step-by-step explanation:

Let,

Age of Emily = x

Age of Cameron = y

Age of Taylor = z

According to given statement;

y = 2x    Eqn 1

z = 4y - 4

z = 4(2x)-4 = 8x-4    Eqn 2

x+y+z = 9x+2    Eqn 3

Putting value of y and z from Eqn 1 and 2 in Eqn 3

$x+(2x)+(8x-4)=9x+2\\x+2x+8x-4=9x+2\\11x-4=9x+2\\11x-9x=2+4\\2x=6$

Dividing both sides by 2

$\frac{2x}{2}=\frac{6}{2}\\x=3$

Putting x=3 in Eqn 2

$z=8(3)-4\\z=24-4\\z=20$

Taylor is 20 years old.

Keywords: word problems, linear equations

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