Question

casey is six time as old as Ralph, In two years, she will be four time as old as Ralph. How old is each of them now?

Answer 1

Casey is 18 years old and Ralph is 3 years old.

Step-by-step explanation:

Let,

Age of Casey = x

Age of Ralph = y

According to given statement;

x = 6y     Eqn 1

In two years

x+2=4(y+2)

x+2=4y+8

x = 4y+8-2

x = 4y+6     Eqn 2

Putting value of x from Eqn 1 in Eqn 2

$6y=4y+6 \\6y-4y=6\\2y=6$

Dividing both sides by 2

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

Putting y=3 in Eqn 1

$x=6(3)\\x=18$

Casey is 18 years old and Ralph is 3 years old.

Keywords: word problems, substitution method

Learn more about substitution method at:

• brainly.com/question/12973601
• brainly.com/question/13063819

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