Question 30227
Now:

Nick's age = x yrs

Rick is 6 years old than Nick so his age is (x+6) yrs

In 4 years:

Rick's age now will be (x+6) +4 = (x+10) yrs

Nick's age = (x+4) yrs

In 4 yrs, Rick will be twice as old as Nick, therefore:   (x+10) = 2(x+4)

In 10 years:

Nick's age = (x+10) yrs

Rick's age = (x+6) + 10 = (x+16) yrs

Nick is now 2/3 of Rick therefore, 3(x+10)/2 = (x+16)



We now have two equations:

(x+10) = 2(x+4)

(x+10) = 2x +8

10 - 8 = 2x - x

2 = x

x = 2

Nick is 2 yrs old

We know that Rick is (x+6) yrs old therefore, Rick is (2+6) yrs old = 8 yrs old





3(x+10)/2 = (x+16)

We don't need to even bother about this equation as we have already found out our answer.