Let me present two groups of 3 digits each which can be used for making numbers having a surprising property.
First group the digits are 4,5 and 6.They make a total of 15 and their squares make up a total of 77.
Second group -the digits are 8,3 and 2 giving the total of 13 ,but giving the same total 77 relating to the squares.
You can join one digit from the first group (say 4) with a digit from the second group (say 8) making the numbers 48 or 84.You can similarly join other digits one from each group.- making 6 more 2 digit numbers.The surprising fact is that you will have again two groups of 3 numbers each,each number consisting of 2 digits and the squares of the numbers each group making the same total.-shown below for ready perusal-
The notation S refers to the squares of the numbers involved-
S48+S53+S62=S84+S35+S26=8957
S48+S52+S63=S84+S25+S36=8977
S43+S58+S62=S34+S85+S26=9057
S43+S52+S68=S34+S25+S86=9177
S42+S58+S63=S24+S85+S36=9097
S42+S53+S68=S24+S35+S86=9197
First group the digits are 4,5 and 6.They make a total of 15 and their squares make up a total of 77.
Second group -the digits are 8,3 and 2 giving the total of 13 ,but giving the same total 77 relating to the squares.
You can join one digit from the first group (say 4) with a digit from the second group (say 8) making the numbers 48 or 84.You can similarly join other digits one from each group.- making 6 more 2 digit numbers.The surprising fact is that you will have again two groups of 3 numbers each,each number consisting of 2 digits and the squares of the numbers each group making the same total.-shown below for ready perusal-
The notation S refers to the squares of the numbers involved-
S48+S53+S62=S84+S35+S26=8957
S48+S52+S63=S84+S25+S36=8977
S43+S58+S62=S34+S85+S26=9057
S43+S52+S68=S34+S25+S86=9177
S42+S58+S63=S24+S85+S36=9097
S42+S53+S68=S24+S35+S86=9197
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