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Joaquin is four more than half Marjorie's age. Marjorie is also 32 less than three times Joaquin's age. How old is Marjorie, in years?

Respuesta :

Joaquin = 4 + Marjorie
Marjorie = 3 * Joaquin -32

Let's say Joaquin is x.
Let's say Marjorie is y.

x=4+y
y=3x-32

y=x-4
y=3x-32

x-4=3x-32 (Subsititute)

-4=2x-32

28 = 2x

x = 14

In other words, Joaquin is 14 years old.
Now, substitute:

x=4+y ; x=14

14 = 4+y

y=10

So, Marjorie is 10 years old.


In conclusion, Joaquin is 14 years old and Marjorie is 10 years old.


onyebuchinnaji

The age of Marjorie is 10 years.

From the given statement we can form the following algebraic equations;

  • let the age of Marjorie = x
  • let the age of Joaquin = y

Joaquin is four more than half Marjorie's age: y = x + 4

Marjorie is also 32 less than three times Joaquin's age: x + 32 = 3y

To solve for the age of Marjorie, we use the following step;

From the first equation, make x the subject of the formula;

x = y - 4

Substitute the value of x into the second equation;

y - 4 + 32 = 3y

28 = 2y

y = 14

x = 14 - 4

x = 10

Thus, the age of Marjorie is 10 years.

Learn more here: https://brainly.com/question/17765207

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