SOLUTION: sue's mom said: 'i am four times your age, and your grandma is twice my age. when i am grandma's age you will be 45' how old is sue

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Question 976560: sue's mom said: 'i am four times your age, and your grandma is twice my age. when i am grandma's age you will be 45' how old is sue
Found 3 solutions by josgarithmetic, lwsshak3, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
s, sue
m, mother
g, grandmother
x, some unknown number of years in the future

Transcribing the description into equations
system%28m=4s%2Cg=2m%2Cm%2Bx=g%2C+s%2Bx=45%29

That is a system of four equations in four unknown variables. The HARD part was formulating the four equations.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
sue's mom said: 'i am four times your age, and your grandma is twice my age. when i am grandma's age you will be 45' how old is sue
***
let x=sue"s age
4x=mom's age
8x=grandma's age
grandma is 4x older than mom
x+4x=45 (sue's age plus mom at grandma's age)
5x=45
x=9
how old is sue? 9

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

sue's mom said: 'i am four times your age, and your grandma is twice my age. when i am grandma's age you will be 45' how old is sue
Let Sue’s age be S
Then Sue’s mom’s age is: 4S
Sue’s grandma’s age: 2(4S), or 8S
In 4S years, Sue’s mom will be grandma’s age, or 8S
In 4S years, Sue will be S + 4S, or 5S
Therefore, we get: 5S = 45
S, or Sue is: 45%2F5, or highlight_green%289%29 years-old