Question 30227
Let R represent the age of Rick.
Let N represent the age of Nick.
Rick is 6 years older than Nick: this becomes,
R = N + 6 -----------------------------------------(1)
In 4 years he (Rick) will be twice as old as Nick: this becomes
R+4 = 2*(N+4) ------------------------------------(2)
From (1), substitute for R = N + 6 into (2), giving
N+6 + 4 = 2N + 8
6+4-8 = 2N - N
N = 2
=====
R = N+6
R = 8
=====
You only really need the two statements. The third one is redundant. But you can use it to check out your answer.
In 10 years Nick will be 2/3 Rick's age: this becomes
N + 10 = (2/3)(R + 10)
2 + 10 =(2/3)(18)
12 = 12
lhs = rhs - ans checks out :)
==========================