Find out the set of numbers in which sum 100 and 5 at once place
Answers
Given : set of numbers in which the sum is 100 and 5 comes at the place of ones in
To Find : set of numbers
Solution:
Sum = 100
unit place = 5
Hence number must be less than 100 and end with 5
Such numbers are
5 , 15 , 25 , 35 , 45 , 55 , 65 , 75 , 85 , 95
Lets find whose sum is 100
( 5 , 95) , ( 15 , 85 ) , ( 25 , 75) , ( 35 , 65) , ( 45 , 55)
three numbers can not add up to 100
Lets try 4 numbers
( 5 , 15 , 25 , 55) , ( 5 , 15 , 35 , 45 )
set of numbers in which the sum is 100 and 5 comes at the place of ones is
{ (5 , 95) , ( 15 , 85 ) , ( 25 , 75) , ( 35 , 65) , ( 45 , 55) , ( 5 , 15 , 25 , 55) , ( 5 , 15 , 35 , 45 ) }
if we use repetition of numbers then there can be many more solutions
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