Question 1196134: Sandra is 63 years older than her grandson. Five years ago, she was 4 times as old as he was. How old is she
Found 4 solutions by ikleyn, josgarithmetic, ankor@dixie-net.com, MathTherapy:
Answer by ikleyn(52777)   (Show Source):
You can put this solution on YOUR website! .
Sandra is 63 years older than her grandson. Five years ago, she was 4 times as old as he was.
How old is she
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Five years ago, Sandra was 63 years older than her grandson  , at the same time,
she was 4 times as old as the grandson.
Let x be the grandson age five years ago. Then Sandra's age five years ago is 4x,
according to the problem's description.
So we can write an equation
4x - x = 63, or 3x = 63, which implies x = 63/3 = 21.
Thus, five years ago the grandson was 21 years old;
hence, Sandra was 4*21 = 84 years old five years ago.
So, now Sandra is 84 + 5 = 89 years old. ANSWER
Solved.
Answer by josgarithmetic(39617)  (Show Source):
Answer by ankor@dixie-net.com(22740)  (Show Source):
You can put this solution on YOUR website! Sandra is 63 years older than her grandson.
s = g + 63
Five years ago, she was 4 times as old as he was.
s - 5 = 4(g-5)
distribute the 4
s - 5 = 4g - 20
s = 4g - 20 + 5
s = 4g - 15
replace s with (g+63) from the 1st statement
g + 63 = 4g - 15
63 + 15 = 4g - g
78 = 3g
g = 78/3
g = 26 is the grandson's age
How old is she?
Using the 1st equation, find s
s = 26 + 63
s = 89 yr is Sandra's age
:
:
See if that checks out in the statement
"Five years ago, she was 4 times as old as he was."
89 - 5 = 4(26-5)
84 = 4*21
Answer by MathTherapy(10551)  (Show Source):
You can put this solution on YOUR website!
Sandra is 63 years older than her grandson. Five years ago, she was 4 times as old as he was. How old is she
Let S be Sandra's age
Then grandson is: S - 63
We then get: S - 5 = 4(S - 63 - 5)
S - 5 = 4(S - 68)
S - 5 = 4S - 272
S - 4S = - 272 + 5
- 3S = - 267
Sandra's age, or 
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