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A+B+C+D=D+E+F+G=G+H+I=17 where each letter represent a
number from1 to 9. Find out what does letter D and G
represent if letter A=4.
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Answer / manjeet singh
d = 5 & g = 1
Step 1.
a + b + c + d = d + e + f + g = g + h + i = 17
Means, ( a + b + c + d )+ (d +e + f + g )+ (g +h + i ) = 17 +17+17 = 17 x 3 = 51
a + b + c + d + e + f + g + h + i +( d + g ) = 51
Step 2.
But 'a' to ' i ' takes values only from 1 to 9
So a + b + c + d + e + f + g + h + i = sum of the numbers from 1 to 9 = 45
Step 3.
From step 1 and step 2
d + g = 51 - 45 = 6
possible values of d & g are (1, 5), ( 5,1 ), (2,4) & (4, 2 )
( 2, 4 ) & ( 4 , 2 ) are not possible as "a = 4 "
We have to try with other values (1, 5 ) & ( 5 , 1 )
Step 4.
When d = 1 and g = 5
1. a + b + c + d = 4 + b +c + 1 = 17
b + c = 12 ; only possible values of b & c are ( 9, 3 ) or ( 3, 9 )
2. d + e + f + g = 1 + e + f + 5 = 17
e + f = 17 - 6 = 11
possible combinations for 11 are ( 2,9 ) ; ( 3,8 ) ; (4,7 ) & ( 5,6 )
Out of the above four combinations nothing is possible beacuse
b & c takes values 3 & 9 g = 5 (assumed) and a = 4 (given).
So, d = 1 & g = 5 is not the solution.
Case 2.
When d = 5 and g = 1
1. a + b + c + d = 4 + b + c + 5 = 17
b + c = 17 - 9 = 8
only possible combination is 2 & 6
a + b + c + d = 4 + ( 2 + 6 ) + 5 = 17
2. d + e + f + g = 5 + e + f + 1 = 17
e + f = 17 - 6 = 11
The only possible value is 3 & 8
d + e + f + g = 5 + ( 3 + 8 ) + 1 = 17
g + h + i = 1 + h + i = 17
h + i = 17 - 1 = 16
The only possible value for h & i are 7 & 9
g + ( h+ i ) = 1 + ( 7 + 9 ) + 17
So the values of d = 5 & g = 1
| Is This Answer Correct ? | 132 Yes | 3 No |
Answer / sai
GIVEN A+B+C+D=D+E+F+G=G+H+I=17
A+B+C+D=17
4+2+6+5=17
D=5
D+E+F+G=17
5+3+8+1=17
G=1
G+H+I=17
1+9+7=17
D=5;G=1
| Is This Answer Correct ? | 31 Yes | 15 No |
Answer / virender singh
d = 5 & g = 1
Step 1.
a + b + c + d = d + e + f + g = g + h + i = 17
Means, ( a + b + c + d )+ (d +e + f + g )+ (g +h + i ) = 17
+17+17 = 17 x 3 = 51
a + b + c + d + e + f + g + h + i +( d + g ) = 51
Step 2.
But 'a' to ' i ' takes values only from 1 to 9
So a + b + c + d + e + f + g + h + i = sum of the numbers
from 1 to 9 = 45
Step 3.
From step 1 and step 2
d + g = 51 - 45 = 6
possible values of d & g are (1, 5), ( 5,1 ), (2,4) & (4,
2 )
( 2, 4 ) & ( 4 , 2 ) are not possible as "a = 4 "
We have to try with other values (1, 5 ) & ( 5 , 1 )
Step 4.
When d = 1 and g = 5
1. a + b + c + d = 4 + b +c + 1 = 17
b + c = 12 ; only possible values of b & c are (
9, 3 ) or ( 3, 9 )
2. d + e + f + g = 1 + e + f + 5 = 17
e + f = 17 - 6 = 11
possible combinations for 11 are ( 2,9 ) ; ( 3,8 ) ;
(4,7 ) & ( 5,6 )
Out of the above four combinations nothing is possible
beacuse
b & c takes values 3 & 9 g = 5 (assumed) and a = 4
(given).
So, d = 1 & g = 5 is not the solution.
Case 2.
When d = 5 and g = 1
1. a + b + c + d = 4 + b + c + 5 = 17
b + c = 17 - 9 = 8
only possible combination is 2 & 6
a + b + c + d = 4 + ( 2 + 6 ) + 5 = 17
2. d + e + f + g = 5 + e + f + 1 = 17
e + f = 17 - 6 = 11
The only possible value is 3 & 8
d + e + f + g = 5 + ( 3 + 8 ) + 1 = 17
g + h + i = 1 + h + i = 17
h + i = 17 - 1 = 16
The only possible value for h & i are 7 & 9
g + ( h+ i ) = 1 + ( 7 + 9 ) + 17
So the values of d = 5 & g = 1
| Is This Answer Correct ? | 11 Yes | 2 No |
Answer / puja kumari gupta
A+b+c+d=d+e+f+g=g+h+i=17, if a=4, find values of 'd' & 'g'.
all values range in between 1 to 9?
The Ans For This Question Should be:
a+b+c+d+d+e+f+g+g+h+i= 51,
a+b+c+d+e+f+g+h+i=45,
=> d + g = 6. d ≠ g => d, g, ≠ 3. a = 4 => d, g ≠ 4, 2.
=> a, d = 1, 5; or 5, 1.
Now h+i = 16 or 12; h+i = 16 => h, i = 7, 9; h+i = 12
=> h, i = 3, 9 => h or i = 9;
Also e + f = 11 => e + f = 2+9 or 3+8; But e, f ≠ 9
=> e, f = 3, 8.
b+c+d = 13, d, g = 1, 5. b, c = 2, 3, 6, 7.
h, i = 9 and either 3 or 7.
=> b, c = 2, 6 => d = 5 and g = 1.
| Is This Answer Correct ? | 5 Yes | 6 No |
Answer / abi
JUST BY TRIAL AND ERROR METHOD :
PUT
A=4
B=2
C=6
D=5
E=3
F=8
G=1
H=9
I=7
A+B+C+D=17
4+2+6+5=17
D+E+F+G=17
5+3+8+1=17
G+H+I=17
1+9+7=17
HENCE,
D=5
G=1
| Is This Answer Correct ? | 3 Yes | 11 No |
Answer / jamuna rani
here D=1 and G=5
where GIVEN A=4
A + B + C + D =D + E + F + G = G + H + I = 17
4 3 2 1 1 7 6 5 5 9 8
| Is This Answer Correct ? | 8 Yes | 43 No |
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