Algebra Problem? Help?

Pepe is 25 years older than his cousin Consuela. Cousin Guillermo is 3 times as old as Consuela. The sum of their ages is 90. How old are each of them? Explain how you got your answer please.

Comments

  • Let Consuela's age be C. Pepe's age is therefore C+25, and Guillermo's age is 3C. The equation will read C + (C+25) + 3C = 90. Combine all the C's to give 5C + 25 = 90. Subtract 25 from both sides to give 5C = 65. Divide both sides by 5 to give C = 13. Consuela is 13 years old, Pepe is 38 years old, and Guillermo is 39 years old. The sum of these is 90 (check).

  • suppose, consuela is x years old

    so, pepe is x+25 years old

    and

    guillermo is x*3 times old = 3x years old

    now,

    if x + (x+25) + 3x = 90

    it means

    x + x + 25 + 3x = 90

    5x +25 =90

    5x = 90-25

    5x = 65

    x = 65/5 = 13

    so, Consuela is 13 years old

    Pepe is 13+25 = 38 years old

    Guillermo is 3*13 = 39 years old

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