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.

s = 3h
s = 10 +2h

3h = 10 + 2h
h = 10

s = 3 × 10
s = 30

sam is 30 years old, and Harry is 10 years old

i am a mathematics teacher. if anything to ask please pm me

Answer Link

InesWalston InesWalston · Answer 2 · 2018-12-03T19:34:28+01:00

Answer:

Sam is 30 years old, and Harry is 10 years old.

Step-by-step explanation:

Let us assume that the age of Sam is x and the age of Harry is y.

Sam is currently is three times Harry's age.

So, [tex]x=3y[/tex] ----------------------1

Sam's age is also 10 more than twice Harry's age.

so, [tex]x=2y+10[/tex] ---------------2

Subtracting 2 from 1, we get

[tex]\Rightarrow x-x=3y-2y-10[/tex]

[tex]\Rightarrow 0=y-10[/tex]

[tex]\Rightarrow y=10[/tex]

putting this in equation 1,

[tex]x=3(10)=30[/tex]

Therefore, Sam is 30 years old, and Harry is 10 years old.