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

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!

lublana lublana · Answer 2 · 2019-12-26T04:15:37+01:00

Answer:

5 years

Step-by-step 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

[tex]19+x=3(x+3)[/tex]

[tex]19+x=3x+9[/tex]

[tex]3x-x=19-9=10[/tex]

[tex]2x=10[/tex]

[tex]x=\frac{10}{2}[/tex]

[tex]x=5[/tex]

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