Seven years ago, Davy was six times as old as Christine. One year from now, he will only be twice as old. How old are Davy and Christine?

Sagot :

Let Davy's present age be D and Christine's be:
We know that:
[tex]D-7=6(C-7) \\ D-7=6C-42 \\ D=6C-35[/tex]
and 
[tex]D+1=2(C+1) \\ D+1=2C+2 \\ D=2C+1 [/tex]

So 2C+1 is equal 6C-35
[tex]2C+1=6C-35 \\ 36=4C \\ 9=C[/tex]

Therefore Christine is 9 and Davy is (2*9)+1=19 years old