SOLUTION: Kevin's present age is 1/3 his mother's present age if the mother's age was five times his age 6 years ago what are their ages ?
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Question 1070685: Kevin's present age is 1/3 his mother's present age if the mother's age was five times his age 6 years ago what are their ages ?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Kevin's present age is 1/3 his mother's present age
k = m
get rid of the fraction, multiply both sides by 3
3k = m
:
if the mother's age was five times his age 6 years ago
m - 6 = 5(k-6)
m - 6 = 5k - 30
m = 5k - 30 + 6
m = 5k - 24
replace m with 3k from the first statement
3k = 5k - 24
3k - 5k = -24
-2k = -24
k = -24/-2
k = +12 yrs is Kevin's age
:
what are their ages ?
m = 3(12)
m = 36 yrs is Mom's age
:
:
Confirm these solution in the statement
" the mother's age was five times his age 6 years ago"
36 - 6 = 5(12 - 6)
30 = 5(6)
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