contestada

Maria is 6 times as old as Tina. In 20 years, Maria will be only twice as old as Tina. How old is Maria now?

Respuesta :

Alright, let's solve this math problem together! Let's say Tina's age is represented by "x" (in years). According to the given information, Maria is 6 times as old as Tina, so Maria's age would be 6x.

In 20 years, Maria will be only twice as old as Tina. So, we can set up an equation: (Maria's age + 20) = 2 * (Tina's age + 20).

Substituting the values we know, we have: 6x + 20 = 2 * (x + 20).

Now, let's solve for x:

6x + 20 = 2x + 40.

Subtracting 2x from both sides: 4x + 20 = 40.

Subtracting 20 from both sides: 4x = 20.

Dividing both sides by 4: x = 5.

So, Tina's current age is 5 years. Since Maria is 6 times as old as Tina, Maria's current age would be 6 * 5 = 30 years.

Answer:

Maria is currently 30 years old.

Step-by-step explanation:

We can find Maria's current age using a system of equations, where:

  • M represents Maria's current age,
  • and T represents Tina's current age.

First equation:

We know that Maria is currently 6 times as old as Tina, meaning that:

Maria's age = 6 * Tina's age.

Thus, our first equation is given by:

M = 6T

Second equation:

We also know that in 20 years, Maria will be twice as old as Tina, meaning that:

Maria's age + 20 years = 2 * (Tina's age + 20 years)

Thus, our second equation is given by:

M + 20 = 2(T + 20)

Solving for T using the substitution method:

We can first solve for T by substituting 6T for M in the second equation, M + 20 = 2(T + 20):

6T + 20 = 2(T + 20)

(6T + 20 = 2T + 40) - 20

(6T = 2T + 20) - 2T

(4T = 20) / 4

T = 5

Therefore, Tina is currently 5 years old.

Solving for M:

Now, we can solve for M by plugging in 5 for T in the first equation, M = 6T:

M = 6(5)

M = 30

Therefore, Maria is currently 30 years old.

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