Question

Currently, Sam's coach is twice as old as Sam. When Sam started soccer 10 years ago, his coach was 3 times his age. How old is Sam now?

a. 20

b. 10

c. 30

d. 15

Answer 1

20 years old i believe

Answer 2

Let the age of Coach is : x

And that of Sam is : y

x = 2y

And 10 years ago,
Coach was : (x - 10)

Sam was: (y - 10)

So,

x- 10 = 3(y - 10)

x - 3y = -20

2y - 3y = -20

y = 20

So, Sam is now 20 years old..

Answer 3

THANKYOU GUYS :D

Answer 4

Okay let Sam's current age be = Sam

Currently

Coach's age = 2*Sam yrs. and
Sam's age = Sam yrs.

Now we go back to his past.
They are telling us: When Sam started soccer 10 years ago, his coach was 3 times his age.

So Sam, then was = Sam-10 yrs.
And thus his coach, then was = 3(Sam-10) yrs.

So now we need to get an equation:

Coach currently is 2*Sam
So 10 years ago Coach was 2*Sam -10 yrs.
And we also have ONE MORE equation of coach, 10 years ago = 3(Sam-10)

EQUATE THEM.

2*Sam - 10 = 3(Sam-10)

2*Sam - 10 = 3*Sam - 30

So
Sam = 20 years old. :)

Understood? :)

Answer 5

20 is correct.