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17 March, 18:33

Alvin's age is two times Elga's age. The sum of their ages is 72. What is Elga's age?

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  1. 17 March, 20:02
    0
    Alvin 46, Elga 23

    Step-by-step explanation:

    So you set up two equations:

    Before anything lets assume

    age of Elga = E

    age of Alvin = A

    Then,

    A = 2E (Alvin's age is 2x Elga's age) (EQ 1)

    A+E=72 (Sum of Alvin's and Elga's age) (EQ 2)

    Plug the value of A from eq1 to eq2.

    A+E=72

    2E+E=72 (we plugged here the value of A from eq1)

    3E=72

    E = 26 (Elga's Age)

    Now solve for Alvin's age by plugging E in either equation:

    A+E=72

    A+26=72

    A = 46yr (Alvin's Age)

    or Plug in eq 1

    A=2E

    A = 2x23 = 46yr (Alvin's Age)
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