Question 41901
Okay let their ages be x and x+1, since they are a year apart.  Then we have
x^2 + (x+1)^2 + x + x+1 = 1105
Now solve this...
x^2 + x^2 + 2x + 1 + x + x + 1 = 1105
2x^2 + 4x + 2 = 1105
2x^2 + 4x - 1103 = 0
This is not factorable, so we use the quadratic formula to get
x = (-4 ± sqrt(16 + 8824)) / 4
x = (-4 ± sqrt(8840)) / 4
x = (-4 ± 2*sqrt(2210)) / 4
x = (-2 ± sqrt(2210)) / 2
x is about 22.5 years old
x+1 is about 23.5 years old
I have a feeling there is something wrong with the problem...