SOLUTION: can you please help me solve this question 'how old am i if i am 4 times my daughters age today and 7 years earlier i was 11 times her age?' i am not quite sure how to go about sol

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Question 624461: can you please help me solve this question 'how old am i if i am 4 times my daughters age today and 7 years earlier i was 11 times her age?' i am not quite sure how to go about solving it thank you.

Found 2 solutions by Theo, ewatrrr:
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
let x be your daughter's age now.
today you are 4 times your daughter's age.
that means you are 4*x years old.
7 years ago, you were 11 times her age.
7 years ago you were 4*x - 7 years old.
7 years ago, your daughter was x-7 years old.
you were then 11 times her age which means that:
4*x - 7 = 11*(x-7)
solve this equation to get the value of x.
4x - 7 = 11*(x-7)
simplify to get:
4x - 7 = 11x - 77
add 7 to both sides of this equation to get:
4x = 11x - 77 + 7 which simplifies to:
4x = 11x - 70
subtract 11x from both sides of this equation to get:
4x - 11x = -70 which simplifies to:
-7x = -70
divide both sides of this equation by -7 to get:
x = 10
since x is your daughter's age today, she is now 10 years old.
you are 4 times her age so you are 40.
7 years ago you were 33.
7 years ago she was 3
33 is 11 * 3
the value of x is good.
your aqe is now 40.

Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!

Hi,
4 times my daughters age... today
7 years earlier i was 11 times her age
Question states*** 7 years earlier...
mother
4x -7 = 11(x-7)
70 = 7x
x = 10, daughters age now. Mother is 40
and
CHECKING our Answer*** 7 years earlier...