Let L represent the age of Larry
Let M represent the age ofMoe
Let C represent the age of Curly
From the information given,
Larry is double the age of Moe. This means that
L = 2M
Moe is 2 years younger than Curly. This means that
M = C - 2
If you add together the ages of Moe, Curly, and Larry, the total comes to 66. This means that
M + C + L = 66
Thus, the required equations to solve the problem are
L = 2M
M = C - 2
M + C + L = 66
From the second equation, C = M + 2
We would substitute L = 2M and C = M + 2 into M + C + L = 66. We have
M + M + 2 + 2M = 66
4M + 2 = 66
4M = 66 - 2 = 64
Dividing both sides of the equation by 4,
M = 64/4
M = 16
L = 2M = 2 x 16
L = 32
C = M + 2 = 16 + 2
C = 18
Thus,
larry = 32
Moe = 16
Curly = 18