Question 432739
Let g = girl's age
Let m = mother's age
:
Write an equation for each statement.
:
"A girl is 1/3 her mothers age."
g = {{{1/3}}}m
:
"The differences in their ages is 20 years."
m - g = 20
From the 1st equation, replace g with {{{1/3}}}m
m - {{{1/3}}}m = 20
{{{2/3}}}m = 20
multiply both sides by 3, results:
2m = 3*20
2m = 60
m = {{{60/2}}}
m = 30 is Mom's age
:
I'll let you find the girl's age


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