Question

Question # 4

1) Brett is 18 years younger than Mark. Carl is 10 years younger
than Mark. The sum of the ages of Brett, Mark, and Carl is 212
How old are each of the 3 men? EXPLAIN: ​

Answer 1

Brett is 62 years old, Mark is 80 years old and Carl is 70 years old

Explanation:

First; we let Brett age to be = x

let Mark age to be = y

let Carl age to be = z

From the question;

since Brett is 18 years younger than Mark, then Brett age is ;

x = y - 18

Also, since Carl is 10 years older younger than Mark, then Carl age is:

z = y-10

Also, from the question says the sum of the ages of Brett, Mark and Carl is 212

This means when you add all their ages together, you will have 212

so; x + y + z = 212

From the equation above, we can substitute x with y-18 and then substitute z with y-10

y-18 + y + y-10 = 212

3y - 28 = 212

add 28 to both-side of the equation

3y - 28 + 28 = 212 + 28

3y = 240

Divide both-side of the equation by 3

3y/3 = 240/3

y = 80

But x = y -18 = 80 -18 = 62

Also; z = y - 10 = 80 -10 = 70

Since x represent Brett age, then Brett's is 62 years old

Also, y represent Mark's age, therefore Mark is 80 years old

Finally z represent Carl's age, therefore Carl is 70 years old.