In a certain code language, 'FAN' is written as '63', and 'DEAR' is written as '112'. How will 'BABY' be written in that language?

Let's find the numerical transformation logic by looking at positional values:
FAN → 63

Positional values: F = 6, A = 1, N = 14

Sum of positions = 6+1+14=21

Notice that 21×3=63. (Here, 3 is the number of letters in FAN).

DEAR → 112

Positional values: D = 4, E = 5, A = 1, R = 18

Sum of positions = 4+5+1+18=28

Multiply by the number of letters (4): 28×4=112.
Mathway

This perfectly confirms the logic: (Sum of positional values) × (Number of letters).

Now let's compute the value for BABY:

Positional values: B = 2, A = 1, B = 2, Y = 25

Sum of positions = 2+1+2+25=30

Number of letters = 4

Result = 30×4=120.