Tom's father is 3 times old as Tom. 4 years ago he was 4 times older. How old is TomI cannot figure how to set this up and get answer
Let T be Tom's age and F be his father's age.
Right now F = 3T because father is three times as old as Tom.
Four years ago, their ages were F-4 and T-4. So:
4 (T-4) = F-4
If you do the math there, you get
4T - 16 = F -4
So now you substitute in the value of F that we set up earlier. And you get
4T - 16 = 3T - 4
So now it's pretty simple.
4T = 16 + 3T - 4
T = 12
So Tom is 12. His father is 36.
Four years ago, he was 8 and Dad was 32.
Tom's father is 3 times old as Tom. 4 years ago he was 4 times older.
sof= toms father and t= tom
4 years ago so subtract 4 from both T and F
but 4 years ago, toms father was 4 times older then tom so multiply toms side by 4 giving you
but you know that f=3T so substitute that for f
then subtract 3T from both sides
add 16 to both sides
so tom is 12.
Tom's father is 3 times old as Tom. 4 years ago he was 4 times older. How old is Tom
Let f stand in for Tom's father
Let t stand in for Tom
f- 4 = 4( t - 4 )
Now that the equations are set up, you can solve for t.
As mentioned before T is tom's present age....F is his father's.
So at present 3T=F
Four years ago their ages were T-4 and F-4 because his father was four times his age. Therefore
Substituting our earlier equivalent of T for F the equation becomes 4(T-4)=3T-4 which becomes
4T-16=3T-4 adding for to both sides makes it
4T-12=3T subtracting T from both sides you get
T=12 so Tom is currently 12