Question

Leos age is 3 times stans age,in 5 years,leo will be twice as old as stan. how old are they now

Answer 1

stan is 5 years and leo is 15 years

Step-by-step explanation:

let stan's age be x , then leo's age is 3x ( 3 times stan's age )

in 5 years

stan is x + 5 and leo is 3x + 5

At this time leo is twice as old as stan , that is

3x + 5 = 2(x + 5)

3x + 5 = 2x + 10 ( subtract 2x from both sides )

x + 5 = 10 ( subtract 5 from both sides )

x = 5

3x = 3 × 5 = 15

Then stan is 5 and leo is 15

Answer 2

To determine Leo's and Stan's current ages, we set up a system of equations with Stan's age as S and Leo's as L. Solving these equations reveals that Stan's current age is 5 years old and Leo's is 15 years old.

Step-by-step explanation:

The student's question is about determining the current ages of Leo and Stan based on the given relationship between their ages now and in 5 years. To solve this problem, we need to set up a system of equations based on the information provided.

Let S represent Stan's current age, and L represent Leo's current age. According to the problem, L = 3S (Leo's age is three times Stan's age). In 5 years, Leo will be L + 5 years old, and Stan will be S + 5 years old. At that time, Leo will be twice as old as Stan, which gives us the equation L + 5 = 2(S + 5).

Now we have two equations:

• L = 3S
• L + 5 = 2(S + 5)

We can substitute the first equation into the second to solve for S:

3S + 5 = 2(S + 5)

3S + 5 = 2S + 10

S = 10 - 5

S = 5

Now that we know Stan's age, we can find Leo's age:

L = 3S

L = 3(5)

L = 15

Therefore, Stan is currently 5 years old and Leo is 15 years old.