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12 December, 22:43

Julio's father is 4 times as old as Julio. The sum of their ages is no less than 55.

Find an inequality that can be used to represent this situation, where x represents Julio's age.

Find the youngest age Julio can be.

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  1. 13 December, 00:18
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    Call (F) the age of the father and (J) the age of Julio

    The F & J are related in this way: F=4J

    Now you have a restriction in the form of inequality: The sum of both ages has to be greater or equal than 55.

    Algebraically that is: F + J ≥ 55

    You can substitute F with 4J to find the solution for J:

    4J + J ≥ 55

    5J ≥ 55

    Now divide both sides by 5

    5J/5 ≥ 55/5

    J ≥ 11

    That Imposes a lower boundary for the value of J of 11, meaning that the youngest age of Julio can be 11
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