Question

If in a coded language, MASTER is written as 79 7 115 121 31 109 then LAUGH will be written as
(Note: - Do NOT include any spaces in your answer)

Answer 1

Correct Answer: 7371274349

Step 1: Treat two known letter-code pairs as points on a line: M (position 13) codes to 79, and A (position 1) codes to 7.

Step 2: Slope \( m = \frac{79-7}{13-1} = 6 \), and intercept \( k = 7 - 6(1) = 1 \), giving the rule \( f(n) = 6n+1 \).

Step 3: Confirm with S(19): \( 6(19)+1=115 \), T(20): \(6(20)+1=121\), matching the given codes, so the rule is verified.

Step 4: Apply to LAUGH — L(12)=73, A(1)=7, U(21)=127, G(7)=43, H(8)=49. \[ \boxed{73\ 7\ 127\ 43\ 49} \]