Question

Leo is 19 years old and Amira is 16 years younger. In how many years will Leo be 3 times as old as Amira

Answer 1

Answer:

Leo will be= 19+5=24

Step-by-step explanation:

Let (x) y after Leo will be 3 times as old as Amira  after (x)y

Lee=(19+x) y

Amira=(x+3) y

So:

19+x = 3(3+x)

19 + x = 9 + 3x

3x-x=19-9

2x=10

x=10/2

x=5

So leo will be= 19+5=24

but Amira will be =3+5=8

hope this helps

Answer 2

Answer:

x=5

Step-by-step explanation:

Let's assign the number of years until Leo will be 3 times as old as Amira as x.

Leo = 19, Amira = Leo-16=19-16=3.

In x number of years, Leo+x = (Amira+x)*3, so 19+x=(3+x)*3. We will then try to isolate x. Subtracting both sides by x and then dividing both sides by 3, we get

19/3 = 3 +x - x/3. Subtracting 3 from both sides, we get 10/3=2*x/3. Multiplying both sides by 3 and then dividing both sides by 4, we get x=5 years