If BEAT=25-22-26-7 and RUST=9-6-8-7 then how will you code ‘BURST’?

Concept

In alphabet-to-number coding puzzles, each letter is converted to a number by a fixed arithmetic rule applied to its position in the alphabet (A=1, B=2, ..., Z=26). The rule itself must first be derived from the given example words, then applied to the target word.

Application

1. From BEAT = 25-22-26-7: B(2)→25, E(5)→22, A(1)→26, T(20)→7 — each code equals 27 minus the letter's alphabetical position.

2. From RUST = 9-6-8-7: R(18)→9, U(21)→6, S(19)→8, T(20)→7 — confirms the same rule (27 − position).

3. Apply the rule to BURST: B(2)→25, U(21)→6, R(18)→9, S(19)→8, T(20)→7.

Cross-check

The letter T appears in both BEAT and RUST, and codes to 7 in each — a consistent check that the rule (27 − position) was derived correctly; it also codes to 7 in BURST, confirming the mapping is consistent across all three words.

Therefore BURST is coded as 25-6-9-8-7.