Values of Q and T

If B + P + F = 24, what are the values of Q and T?

Hint: Consider whole numbers only.

A + B = Z
Z + P = T
T + A = F
F + S = Q
Q - T = 7

Answer:

Since A + B = Z and Z + P = T, it follows that A + B + P = T. We also
know that T + A = F, so adding the last two equations and simplifying,
we get 2A + B + P = F. We know that B + P + F = 24, so we have:
24 - B - P = F
2A + B + P = F
24 + 2A = 2F or 12 + A = F
We can replace F with T + A. The equation then becomes 12 + A = T +
A> so T = 12 and therefore Q = 19.