Question 135416: The sum of Nora's age and her grandmother's age is 71. Four times Nora's age is six less than the grandmother's age. Find their ages.
so far, I've got...
let x = Nora's age
let y = grandmother's age
one equation i got so far is x + y = 71.
i can't figure out the other equation though...
Answer by ptaylor(2198)   (Show Source):
You can put this solution on YOUR website!
WELL, YOU ARE RIGHT ON, SO FAR!!!!!!!!!!!!!!!!!GOOD WORK! IT'S A START.
Lets look at this:
----------Four times Nora's age is six less than the grandmother's age--
4x=4 times Nora's age
y-6= six less that grandmother's age, so:
4x=y-6-------------------------------------eq2
In your equation, if we subtract x from each side we end up with:
y=71-x now lets substitute this into eq2
4x=71-x-6 add x to each side
4x+x=71-x+x-6 collect like terms
5x=65 divide each side by 5
x=13-----------------------------Nora's age
substituting this into your equation, we get:
13+y=71 subtract 13 from each side
y=71-13=58--------------------------------grandmother's age
CK
58+13=71
71=71
and
4*13=58-6
52=52
Hope this helps---ptaylor
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