Q3: Each letters in the picture below,
represents single digit. Find the value
of each letter (for both cases, value
of letters may vary). नीचे दिए गए चित्र में
प्रत्येक अक्षर एकल अंक का प्रतिनिधित्व करता
है। प्रत्येक अक्षरा कीजिए (दोनों
मामलों के लिए, अक्षरों का मूल्य भिन्न हो सकता
है)।
by Xiaomi
BOYS GIRLS
+BOYS +GIRLS
SILLY SILLY
CASE (1)
CASE (2)
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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