SOLUTION: Hello please help me solve this. Five years ago I was 5 times older than my son. In 8 years’ time I will be 3 times older than my son. How old am I today? I know it will be

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Question 744766: Hello please help me solve this.
Five years ago I was 5 times older than my son. In 8 years’ time
I will be 3 times older than my son. How old am I today?
I know it will be a simultaneous equation, but I'm struggling to understand the two equations. So far I've done x-5=5(y-5)
x+8=3(y+8)
Now I'm not sure what to do.
Thanks :)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Five years ago I was 5 times older than my son. In 8 years’ time
I will be 3 times older than my son. How old am I today?
I know it will be a simultaneous equation, but I'm struggling to understand the two equations. So far I've done x-5=5(y-5)
x+8=3(y+8)
Now I'm not sure what to do.
-----------
You made the 2 eqns, that's where most people have problems.
x-5=5(y-5)
x+8=3(y+8)
-----
x - 5 = 5y - 25
x + 8 = 3y + 24
------------------ Subtract
-13 = 2y - 49
2y = 36
y = 18
-------
x = 70