savannah3550
savannah3550 savannah3550
  • 02-03-2021
  • Mathematics
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Alvin's age is three times Elga's age. The sum of their ages is 104. What is Elga's age?

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desaniamiya101
desaniamiya101 desaniamiya101
  • 02-03-2021

Answer: Alvin is 78, Elga is 26

Step-by-step explanation:

Let's first start by naming the variables:

a = Alvin's age

e = Elga's age

a = 3e

a + e = 104

substitute a (in the second equation) as 3e

3e + e = 104

4e = 104

e = 26

Substitute e as 26 into either equation

a = 3(26)

a = 78

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