Each letters in the picture below, represents single digit. Find the value of each letter (for both cases, value of letters may vary
Answers
Given :
BOYS
+ BOYS
_______
SILLY
GIRLS
+ GIRLS
_______
SILLY
To Find : Digits
Solution:
BOYS
+ BOYS
_______
SILLY
S is carry Hence S = 1
S + S = Y => 2
Y + Y = L => L = 4
O + O = L => O = 7 L = 14
1 + B + B = 1I Hence B ≥ 5
B = 5 => 11 hence 1 is repeated
B = 6 => 13 Hence I = 3
B ≠ 7 as O = 7
B = 8 => 17 hence I = 7 but O = 7
B = 9 =>19 hence I = 9 => B & I = 9 not possible
B = 6 =>
6 7 2 1
6 7 2 1
_______
1 3 4 4 2
GIRLS
+ GIRLS
_______
SILLY
L + L => L = 0 or L = 9 if carry over is already there
I + I => I = 0 or I = 9 if carry over is already there
Case 1 : L = 0 , I = 9
=> R = 5
1 1
G 9 5 0 S
G 9 5 0 S
_______
S 9 0 0 Y
G = 1 => S = 3 => Y = 6
G = 2 => S = 5 but R = 5
G = 3 => S = 7 but S < 5 as no carry over
1 9 5 0 3
1 9 5 0 3
_______
3 9 0 0 6
Case 2 : L = 9 , I = 0
1 1
G 0 4 9 S
G 0 4 9 S
_______
S 0 9 9 Y
G < 5 as no carry over and G can not be 0
G = 1 => S = 2 but S ≥ 5 as carry over
G = 2 => S = 4 < 5
G = 3 => S = 6 => Y = 2
G≠ 4 as R = 4
3 0 4 9 6
3 0 4 9 6
_______
6 0 9 9 2
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Each letters in the picture below, represents single digit
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