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What 3 positive numbers give the same result when multiplied and added together?
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Answers
Answered by
6
Hey there!
Riddle:
What 3 positive numbers give the same result when multiplied and added together?
Answer:
=> 1 , 2 & 3 are the 3 positive numbers that give the same result when multiplied and added together.
Proofs:-
Multiplication:
=> 1 × 2 × 3
=> 6
Addition:
=> 1 + 2 + 3
=> 6
Hence, both the case, multiplication and addition gives the same result.
So, 3 positive numbers are 1 , 2 & 3.
Hope It Helps!
Riddle:
What 3 positive numbers give the same result when multiplied and added together?
Answer:
=> 1 , 2 & 3 are the 3 positive numbers that give the same result when multiplied and added together.
Proofs:-
Multiplication:
=> 1 × 2 × 3
=> 6
Addition:
=> 1 + 2 + 3
=> 6
Hence, both the case, multiplication and addition gives the same result.
So, 3 positive numbers are 1 , 2 & 3.
Hope It Helps!
Answered by
5
XYZ =X+ Y+Z
Apply AM>= GM
( X+Y+Z)^3 >= 27 XYZ
(XYZ)^3 >= 27XYZ
(XYZ)^2 >= 27
XYZ >= 3√3
AS X,Y,Z ARE INTEGERS
so let's take three smallest positive integers 1,2,3
then let's check it
1 + 2+3 = 1×2×3
so 6=6
So numbers are 1,2,3
Apply AM>= GM
( X+Y+Z)^3 >= 27 XYZ
(XYZ)^3 >= 27XYZ
(XYZ)^2 >= 27
XYZ >= 3√3
AS X,Y,Z ARE INTEGERS
so let's take three smallest positive integers 1,2,3
then let's check it
1 + 2+3 = 1×2×3
so 6=6
So numbers are 1,2,3
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