Respuesta :

Answer:

Elgas is 9 years old.

Step-by-step explanation:

Alvin: 3 x Elgas

36: Alvin + Elgas

36 / 4 : 9

Elgas: 9

Alvin: 27

To check: 27 + 9= 36

Lanuel

Elga's age is equal to 9 years.

  • Let Alvin's age be A.
  • Let Elga's age be E.

Translating the word problem into an algebraic expression, we have;

Alvin's age is three times Elga's age:

[tex]A=3E[/tex]  ...equation 1.

The sum of their ages is 36:

[tex]A+E=36[/tex]  ...equation 2.

Substituting eqn. 1 into eqn. 2, we have:

[tex]3E+E=36\\\\4E=36\\\\E=\frac{36}{4}[/tex]

E = 9 years.

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