Question

Sam and Harry are family. Sam is currently is three times Harry's age. Sam's age is also 10 more than twice Henry's age. What are their current ages?



choices:


Sam is 24 years old, and Harry is 8 years old.
Sam is 39 years old, and Harry is 13 years old.
Sam is 27 years old, and Harry is 9 years old.
Sam is 30 years old, and Harry is 10 years old.

Answer 1

@sleepyjess could you help me out?

Answer 2

S = 3H
S = 2H + 10

Answer 3

set them equal to each other, 3H = 2H + 10, solve for H

Answer 4

I dont understand on how to do that though :/

Answer 5

@sleepyjess I dont understand how to do that though :/

Answer 6

what don't you understand?

Answer 7

how to solve for H

Answer 8

Well, right now we are adding 2H, so subtract 2H from both sides.

Answer 9

Subtracting 2H from both sides gives us 3H - 2H = 2H - 2H + 10

Answer 10

So is that part what we get? and do we then add the 2H? Sorry I am having a hard time with this.

Answer 11

what is 3H-3H?

Answer 12

*3H-2H

Answer 13

H?

Answer 14

Yep, so H = 2H - 2H +10. What is 2H - 2H?

Answer 15

H as well?

Answer 16

correct @sleepyjess

Answer 17

2H+10?

Answer 18

2H - 2H is just 0

Answer 19

so then it would be 0+10 or 0H+10?

Answer 20

H = 0 + 10, H = 10

Answer 21

The what do you do afterwards?

Answer 22

Just plug in 10 for H into one of the equations and find S

Answer 23

okay

Answer 24

Or just choose the only answer where Harry is 10