Statement 1: Casey is 6 times as old as Ralph gives
C = 6R
where C and R represent Casey and Ralph’s current ages respectively.
Statement 2: In 2 years, Casey will be four times as old as Ralph gives
C + 2 = 4 (R + 2)
Expanding the brackets gives
C + 2 = 4R + 8
Substituting in C from the first equation gives
6R + 2 = 4R + 8
Which can be rearranged as
2R = 6
Implying R = 3 and C = 6R = 18
Therefore, Ralph is 3; Casey is 18
