Question

Lee is 19 years old, and Amira is 16 years younger. In how many years will Lee be three times as old as Amira?

Answer 1

5 years

Explanation:

We are given that

Age of Lee=19 years

Age of Amira=19-16=3 years

We have to find how many years Lee will be three times as old as Amira,

Let x years after Lee will be three times as old as Amira

After x years,

Age of Lee=19+x years

Age of Amira=x+3 years

According to question

`19+x=3(x+3)`

`19+x=3x+9`

`3x-x=19-9=10`

`2x=10`

`x=(10)/(2)`

`x=5`

Hence, after 5 years Lee will be three times as old as Amira.

Answer 2

in 5 years

Explanation:

If Lee is 19 and Amira is 16 years younger, Amira is:

19-16 = 3 years old

So, we need to find how much time in years will pass until Lee's age is three times Amira's. Lets call x the number of years until this happens. So, in x years from now Lee will have 19+x years old, and Amira will be 3+x years old. And this ages must be such that Lees age is 3 tamis Amira's. Thus:

19+x = 3(3+x)

19 + x = 9 + 3x

Subtract 9 in both sides:

19-9 + x = 9 -9 + 3x

10 +x = 3x

Subtract x in both sides:

10 + x -x = 3x -x

10 = 2x

Divide both sides by 2

10/2 = 2x/2

5 = x

So, in 5 years Lee will have three times the age of Amira. Lets verify.

Lee will hace 19+5=24 years old

Amira will have 3+5=8 years old

24/8 = 3

So, its verified!