[DB143] Letter Calculations

←

142 - The Scholar's Life

143 - Letter Calculations

144 - Super Pancakes

→

Letter Calculations is a puzzle in Professor Layton and the Diabolical Box.

Puzzle

US Version

If you take the problem 11x11=121, and replace the 1s with As and the 2s with Bs, you get AAxAA=ABA.

Using that same replacement idea, you can also generate AAxAA=BBCC. New values may or may not have been assigned to each letter.

Can you figure out what A, B and C equal in the above equation?

UK Version

If you take the problem 11 x 11 = 121 and replace the 1s with As and the 2s with Bs, you get AA x AA = ABA.

A similarly-generated letter equation would be AA x AA = BBCC. Can you work out what A, B and C equal in the above equation? The values of A and B may or may not have changed from the first example.

Hints

Click a Tab to reveal the Hint.

US Version

Each letter is represented by a single-digit number, so the possibilities for what number represents each letter are fairly limited.

UK Version

Each letter is represented by a single-digit, so the possibilities for each letter represents are fairly limited.

US Version

If you start by subbing in 1 for A and work your way through all the other numerical possibilities for A, you'll find your answer before long. What's more, if you use a calculator, trying out every possibility will take only a minute or two.

But if you can, try to solve it just using your head.

UK Version

If you start by replacing A with 1 and work your way through all the other possible digits for A, you'll find your answer before long. What's more, if you use a calculator, trying out every possibility will take only a minute or two.

But if you can, try to solve it just using your head.

US Version

As detailed in Hint Two, if you substitute every digit for A and work your way up, you'll find the answer in the last half of your search.

UK Version

Try substituting each digit for A and working your way up, as detailed in Hint 2. You'll find the answer in the last half of your search.

Solution

Incorrect

Too bad!

US Version

Try walking through your calculations one more time.

UK Version

Try running through your calculations one more time.

Correct

Sharp thinking!

US Version

88x88=7744

The numbers work out perfectly if you assign A a value of 8, B a value of 7, and C a value of 4.

At first, the possibilities for what goes where may have seemed daunting, but once you realize that only a few numbers can potentially replace A, everything starts coming together.

UK Version

88 x 88 = 7744

The numbers work out perfectly if you assign A a value of 8, B a value of 7 and C a value of 4.

This equation may seem daunting at first, but if you bear in mind that the potential values of A are limited, everything starts coming together

v · d · ePuzzles in Professor Layton and the Diabolical Box

Normal	001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028 029 030 UK 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 UK 053 054 055 056 057 058 059 060 061 062 063 064 065 066 067 068 069 070 071 072 073 074 075 076 077 078 079 080 081 082 083 084 085 086 087 088 089 090 091 092 093 094 095 096 097 098 099 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153

Weekly	See here for weekly puzzles.

Hidden Door	???

Puzzle Index: CV · DB · UF · LS · MM · AL · VS