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29 Jul 2007, 11:52
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7x
xy
xx
__
117
The above operation represents additions with x and y representing certain digits. What is the value of y?
A. 1
B. 2
C. 3
D. 4
E. 5
xy
xx
__
117
The above operation represents additions with x and y representing certain digits. What is the value of y?
A. 1
B. 2
C. 3
D. 4
E. 5
Archived Topic
Hi there,
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29 Jul 2007, 14:31
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(C) for me 
We have :
o unit(2*x) + unit(y) = 7 (1)
o 7 + 2*x =< 11 (2) (depending on the result of ten digit from 2*x + y = b7 where b could be 1, 2 or 0)
(2) <=> 2*x <= 4
<=> x <= 2
Now, we can try the value of x = 1 and x=2 (0 is impossible as we cannot reach 117 with x=0)
Let's plug in (1)
o If x = 1, then y = 5... but 2*1+5 = 7 and so... 7+2*1 + 0 != 11.... Wrong.
o If x = 2, then y = 3.... 2*2 + 3 = 7 and 7 + 2*2 = 11... Bingo !
We have :
o unit(2*x) + unit(y) = 7 (1)
o 7 + 2*x =< 11 (2) (depending on the result of ten digit from 2*x + y = b7 where b could be 1, 2 or 0)
(2) <=> 2*x <= 4
<=> x <= 2
Now, we can try the value of x = 1 and x=2 (0 is impossible as we cannot reach 117 with x=0)
Let's plug in (1)
o If x = 1, then y = 5... but 2*1+5 = 7 and so... 7+2*1 + 0 != 11.... Wrong.
o If x = 2, then y = 3.... 2*2 + 3 = 7 and 7 + 2*2 = 11... Bingo !
29 Jul 2007, 15:00
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nfa1rhp
C for me.
Can rephrase the question into the following:
(70+x)+(10x+y)+(10x+x) = 117
or, 22x+y = 47
If x = 1, y = 25 (y=25 not given in answer choices so ignore)
If x = 2, y = 3.
