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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.

Verified Answer :

Azieq

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

InesWalston

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, \(x=3y\)  ----------------------1

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

so, \(x=2y+10\)  ---------------2

Subtracting 2 from 1, we get

\(\Rightarrow x-x=3y-2y-10\)

\(\Rightarrow 0=y-10\)

\(\Rightarrow y=10\)

putting this in equation 1,

\(x=3(10)=30\)

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

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