in 5 years art will be twice as old as ben. 5 years ago art was 3 times as old as ben. How old are they?
A = Art, B = Ben
In 5 years art will be twice as old as ben.
A + 5 = 2(B + 5)
5 years ago art was 3 times as old as ben.
A - 5 = 3(B - 5)
A + 5 = 2(B + 5)
A + 5 = 2B + 10
A = 2B + 5
Substitute, A = 2B + 5, in
A - 5 = 3(B - 5)
2B + 5 - 5 = 3(B - 5)
2B = 3B - 15
B = 15
Ben is 15
Substitute, B = 15 in,
A = 2B + 5
A = 2(15) + 5
A = 30 + 5
Art is 35