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29 June, 19:03

If you add Natalie's age and Fred's age, the result is 41. If you add Fred's age to 4 times Natalie's age, the result is 86. Write and solve a system of equations to find how old Fred and Natalie are

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  1. 29 June, 19:20
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    Fred = 26, Natalie = 15

    Step-by-step explanation:

    N + F = 41 / / N = 41 - F (eqn 1)

    4N + F = 86 (eqn 2)

    sub eqn 1 into eqn 2

    4 (41 - F) + F = 86

    164 - 4F + F = 86

    -3F = - 78

    F = 26

    sub F = 26 into eqn 1

    N = 41 - F

    N = 41 - 26

    N = 15
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