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
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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