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.
Answers were Sorted based on User's Feedback
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 |
two workers can type two pages in two minuets then how many persons can type 18 pages in 6 minuets
Volcano : Lava :: A.) water:swim B.) tunnel:dig C.) crack:wall D.) Fault:earthquate
plz send me National informatics center paper pattern
There are 40 seats in a bus. People agree to share the money for the number of seats. The total money comes to 70.37. How many seats were free?
On Monday a manufacturer processed a batch of bats, on Tuesday he processed three times as many, and on Wednesday he processed 4000 bats. In the three days, He processed 16000 bats. How many did he process on Tuesday?
Suppose an individual who firmly believes in keeping promises has promised to return a weapon to a person she knows to be extremely dangerous. According to Murphy, which of the following, if true, would WEAKEN the notion that she should return the weapon
Find the next letter in the series A,C,F,J,0--
given $ means Tripling and % means change of sign then find the value of $%$6-%$%6
1 Answers Accenture, BSNL, TCS,
A person travels 12 km in the southward direction and then travels 5km to the right and then travels 15km toward the right and finally travels 5km towards the east, how far is he from his starting place?
Can I get the placement for Air Inia Air Transport Ltd. exam for the post of Junior Executive Technical. Please let me know if any one knows and mail it to my id : pushpalatasudke@yahoo.com
how to get model papers for clerical exams
0,7,26,63,124, ?
3 Answers College School Exams Tests, Geometric Software, HCL,