56. The sum of three different numbers is
equal to their product. Which is the
biggest number among them?
Answers
Answer:
1
Step-by-step explanation:
-1×0×1=0
-1+0+1=0
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Answer:
.
Step-by-step explanation:
x+y+z=xyz
z=(x+y)/(xy−1)
For natural number z, the numerator should be larger than or equal to the denominator.
x+y>=xy−1
xy−x−y+1<=2
(x−1)(y−1)<=2
For natural numbers (x,y) with order,
case 1 : when x =1, y can be anything;
case 2: when x = 2, y = 2 or 3.
When x = 3 or above, y should be less than x. Without loss of generality, we don't consider these cases.
In case 1, put back x = 1 into the equation,
z=(y+1)/(y−1)
z=1+2/(y−1)
So y can be 2 or 3. When y = 2, z = 3. When y = 3, z =2
The ordered (x,y,z) is (1,2,3).
In case 2,
when x=y =2, z = 4/3 which is not a natural number. This answer is rejected.
when x =2 and y = 3, z = 1.
Combining the cases, the only answer to the question is 1, 2 and 3.