algebra 2 - word problem help?!?

Craig is 24 years younger than his father. In ten years, Craig's father will be three times as old as Craig will be. Find their ages no.

I'm super confused!

please, please, please, help!

Update:

using only one variable!

Comments

  • We are given 2 equations.

    [1] "Craig is 24 years younger than his father"

    C + 24 = F

    [2] "In ten years, Craig's father will be three times as old as Craig will be"

    3(C+10) = F + 10

    So we need to substitute C + 24 for F in [2]:

    3(C+10) = (C+24) + 10

    3C + 30 = C + 34

    2C = 4

    C = 2

    So Craig is 2 and his father is 26.

    In 10 years, Craig will be 12 and his father will be 36.

    Hope this helps!

  • c = f - 24 given

    c+10 = (f+10) /3 given

    c = (f+10)/3 -10 subtract 10 from both sides

    f-24 = (f+10)/3 -10 because c = c

    f-14 = (f+10)/3 add 10 to both sides

    f3-42 = f+10 multiply both sides by 3

    f3 = f+52 add 42 to both sides

    f2 = 52 subtract f from both sides

    f = 26 divide both sides by 2

    if c = f - 24 then c = 2

    . . . Bud

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