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6 September, 06:18

Alvin is 15 years older than Elga. The sum of their ages is 89. What is Elga's age?

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Answers (2)
  1. 6 September, 07:05
    0
    Elga is 37 years old.

    Step-by-step explanation:

    Alvin (A) is 15 years older than Elga (E).

    The sum their anges (A and E) is 89.

    So the system we have is:

    A=15+E

    A+E=89

    We are going to input 15+E for A in A+E=89 since first equation says A+15+E.

    A+E=89 with A=15+E

    (15+E) + E=89

    15+E+E=89

    15+2E=89

    Subtract 15 on both sides:

    2E=89-15

    2E=74

    Divide both sides by 2:

    2E/2=74/2

    E=74/2

    E=37

    Elga is 37 years old.

    A=15+E=15+37=52 so Alvin is 52 yeard old.

    52+37=89.

    and

    52=15+37.
  2. 6 September, 08:36
    0
    Elga is 37 years old.

    Step-by-step explanation:

    Let 'x' be the age of elga.

    Alvin's age is: x + 15

    Given that the sum of their ages is 89, we have that:

    x + 15 + x = 89

    2x = 89 - 15

    2x = 74

    x = 74/2 = 37

    Elga is 37 years old.
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