Question 841470
m = mark's age today.
s = steven's age today.
a = adam's age today.


in 2 years steven will be 3 times as old as he was twelve years ago.
s + 2 = 3 * (s - 12)
solve for s to get:
s = 19


next year adam will be half steven's age next year.
a + 1 = 1/2 * (19 + 1)
solve for a to get:
a = 9


mark is 4 times as old today as adam is today.
m = 4 * 9 = 36


solutions are:


steven = 19
adam = 9
mark = 36


confirm by using these numbers in the original problem statement.


in 2 years steven will be 3 times as old as he was twelve years ago.
in 2 years steven will be 21
12 years ago steven was 7
21 is equal to 3 * 7.
numbers check out.


next year adam will be half steven's age that year.
steven will be 20.
adam will be 10
1/2 20 = 10
numbers check out.


mark is 4 times as old as adam.
adam is 9.
mark is 36.
36/9 = 4
number check out.


solutions look to be good.


steven is 19
adam is 9
mark is 36