# If BAT = 69 and BOOK = 172, then PEN = ?

- 66
- 105
- 144
- None of these

**Answer: (2) 105**

**Explanation:-
**The place value of B = 2,

The place value of A = 1,

The place value of T = 20

The sum of the place values of letters of BAT = 2 + 1 + 20 = 23.

Now, The number of the letters of word BAT = 3

Then, multiply by 3 in the sum of the place values BAT = 3 x 23 = 69

And

The sum of the place values of BOOK = 2 + 15 + 15 + 11

= 43

Now, the number of letters of word BOOK = 4

Then, multiply 4 in the sum of the place values of BOOK = 4 x 43

= 172

Similarly,

The sum of the place values of PEN = 16 + 5 + 14

= 35

Now, the number of the letters of word PEN = 3

Then, the multiply by 3 in the sum of the place values of PEN = 35 x 3

= 105

Hence, the answer is (2) 105.