(made hastily, could be horribly wrong)
Variables:
A - age of mum
V - total value of coins
P - # of pennies
D - # of dimes
Q - # of quartes
N - # of nickels
DEG - degrees between hands.
We know that A = V/6.
As we suppose that Neston's mum is between 20 and 100 years old,
120 <= V <= 600.
Now,
V = P + 10 D + 25 Q + 5 N, and we know that
N = 2 Q
D = 7 P
Q = 5 P
So, we know that V = 246 P.
For V to be between our boundaries, P must be 1 or 2.
But we also know that
DEG = 3 (N + D + Q + P) + 1 - 5 P = 92 P, and as the accident occurred shortly after after four o' clock P = 1 and DEG= 92
(184 would have been far too much).
So, V = 246 and the mum has 41 years. |
