SOLUTION: Charles is four times as old as his daughter Nina.Eight years ago he was ten times as old as Nina. How old is Charles today?

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Question 1150851: Charles is four times as old as his daughter Nina.Eight years ago he was ten times as old as Nina. How old is Charles today?
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
Charles is four times as old as his daughter Nina.
......eq.1
Eight years ago he was ten times as old as Nina.



.......eq.2
from eq.1 and eq.2




..........Nina is years old today
then
......eq.1

......Charles is years old today

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

Charles is four times as old as his daughter Nina.Eight years ago he was ten times as old as Nina. How old is Charles today?
My 1st "let" statement is usually associated with the variable that's being sought. In other words, here I would say, "Let Charles' age be C."
But, this would involve FRACTIONS, and that's a topic that most would rather stay away from, you included, I'd assume! So, I'll go with Nina.
Let Nina's age be N
Then Charles' is 4N
We then get: 4N - 8 = 10(N - 8)
4N - 8 = 10N - 80
4N - 40N = - 80 + 8
- 6N = - 72
N, or Nina's age is:
Therefore, Charles is:
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