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12 May 2005, 17:16
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Whats is the product of the positive integers A and B 
:
A) 18A+B = 367
B) B < 18
:
A) 18A+B = 367
B) B < 18
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12 May 2005, 17:45
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Fairly straightforward.
A) Tells us nothing by itself. 2 variables and 1 equation. Insufficient.
B) Also, tells us nothing byitself. B could be any number between 1 and 17.
Combine them together = Sufficient. Why?
A and B have to be integers and B has to be 17 or less. If we see how many times 18 can go into 367 we get A=19 or 20.
If A = 19 then 18(19) = 324.
367 - 324 > 18 so this can not be the answer
A must be = to 20. 18(20) = 360
367-360 = 7 = B
20 x 7 = 140. Sufficient
A) Tells us nothing by itself. 2 variables and 1 equation. Insufficient.
B) Also, tells us nothing byitself. B could be any number between 1 and 17.
Combine them together = Sufficient. Why?
A and B have to be integers and B has to be 17 or less. If we see how many times 18 can go into 367 we get A=19 or 20.
If A = 19 then 18(19) = 324.
367 - 324 > 18 so this can not be the answer
A must be = to 20. 18(20) = 360
367-360 = 7 = B
20 x 7 = 140. Sufficient
12 May 2005, 17:49
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frim i, A = (367-B)/18, so A and B can be multiple values. so insuff.
From ii, B < 18 tells nothing. so insuff.
from i and ii, we know the values of A, B and AB. A=20 and B=7(this is the only value that satisfies statement ii).
From ii, B < 18 tells nothing. so insuff.
from i and ii, we know the values of A, B and AB. A=20 and B=7(this is the only value that satisfies statement ii).
