Question

Find out the set of numbers in which sum 100 and 5 at once place

Answer 1

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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