SOLUTION: John is thrice as old as her daughter Alice. Ten years ago John was five times as old as Alice. How old was they ten years ago.
Algebra ->
Expressions-with-variables
-> SOLUTION: John is thrice as old as her daughter Alice. Ten years ago John was five times as old as Alice. How old was they ten years ago.
Log On
You can put this solution on YOUR website! John is thrice as old as her daughter Alice.
j = 3a
Ten years ago John was five times as old as Alice.
j - 10 = 5(a - 10)
j - 10 = 5a - 50
j = 5a - 50 + 10
j = 5a - 40
replace j with 3a (from the 1st statement)
3a = 5a - 40
3a - 5a = -40
-2a = -40
a = -40/-2
a = 20 yrs, A's age now
"How old were they ten years ago?"
A was 10 yrs old 10 years ago
:
Find J's age
3(20) = 60 yrs is J's present age
therefore
60 - 10 = 50 yrs 10 yrs ago
