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1 July, 18:52

Jim is 3 times as old as his cousin Anthony the difference in their age is 18. How old is Jim?

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  1. 1 July, 20:03
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    Let's create expressions and equations to model this situation. Let Anthony's age be a.

    "Jim is 3 times as old as his cousin, Anthony." Jim's age is 3a.

    "The difference in their age is 18." 3a - a = 18

    How old is Jim?

    Let's solve the above equation for a to first find Anthony's age.

    3a - a = 18

    2a = 18

    a = 9

    Remember, Jim's age is represented by the expression 3a. Substitute Anthony's age, 9, into the expression to find Jim's age.

    3a

    3 (9)

    27

    Answer:

    Jim is 27 years old.
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