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 ti

Question

3 years ago

12

mes the age of Emily. How old is Taylor?

1 answer:

sashaice [31] · Answer 1 · 2022-06-08T06:38:35+03:00

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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