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28 August, 10:18

Jake, Tayo, and Blizzard have a combined age in dog years of 91. Tayo is 14 years younger than Jake. Blizzard is 6 years older than Jake. What is Jake's age, j, in dog years?

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  1. 28 August, 10:25
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    Use placeholders

    j=jake's age

    t=tayo's age

    b=blizzard's age

    j+t+b=91

    t is 14 younger than j

    t=-14+j

    t=j-14

    b is 6 more than j

    b=6+j

    j+t+b=91

    t=j-14

    b=6+j

    subsitute j-14 for t in first equation and 6+j for b in first equation

    j+j-14+6+j=91

    3j-8=91

    add 8 to bot sides

    3j=99

    divide by 3

    j=33

    sbsitute

    b=6+j

    b=6++33

    b=39

    t=j-14

    t=33-14

    t=19

    j=33

    t=19

    b=39

    jakes arge=33
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