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

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

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.

Answer 2

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