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42 votes
42 votes
Could someone help me

Could someone help me-example-1
User GollyJer
by
3.0k points

1 Answer

26 votes
26 votes

Hello,

I have only found 113 solutions (i have num 15 given)

nb= 1 ::: 27*n + 98= 30*n + 56===> n= 1 4

nb= 2 ::: 28*n + 95= 30*n + 67===> n= 1 4

nb= 3 ::: 29*n + 65= 30*n + 17===> n= 4 8

nb= 4 ::: 29*n + 65= 30*n + 18===> n= 4 7

nb= 5 ::: 29*n + 65= 30*n + 47===> n= 1 8

nb= 6 ::: 29*n + 65= 30*n + 48===> n= 1 7

nb= 7 ::: 29*n + 74= 30*n + 16===> n= 5 8

nb= 8 ::: 29*n + 74= 30*n + 18===> n= 5 6

nb= 9 ::: 29*n + 74= 30*n + 56===> n= 1 8

nb= 10 ::: 29*n + 74= 30*n + 58===> n= 1 6

nb= 11 ::: 30*n + 16= 29*n + 74===> n= 5 8

nb= 12 ::: 30*n + 17= 29*n + 65===> n= 4 8

nb= 13 ::: 30*n + 18= 29*n + 65===> n= 4 7

nb= 14 ::: 30*n + 18= 29*n + 74===> n= 5 6

nb= 15 ::: 30*n + 47= 29*n + 65===> n= 1 8

nb= 16 ::: 30*n + 48= 29*n + 65===> n= 1 7

nb= 17 ::: 30*n + 56= 27*n + 98===> n= 1 4

nb= 18 ::: 30*n + 56= 29*n + 74===> n= 1 8

nb= 19 ::: 30*n + 58= 29*n + 74===> n= 1 6

nb= 20 ::: 30*n + 67= 28*n + 95===> n= 1 4

nb= 21 ::: 36*n + 97= 40*n + 25===> n= 1 8

nb= 22 ::: 38*n + 59= 40*n + 27===> n= 1 6

nb= 23 ::: 38*n + 65= 40*n + 27===> n= 1 9

nb= 24 ::: 38*n + 69= 40*n + 15===> n= 2 7

nb= 25 ::: 39*n + 78= 45*n + 6===> n= 1 2

nb= 26 ::: 39*n + 82= 40*n + 15===> n= 6 7

nb= 27 ::: 39*n + 82= 40*n + 17===> n= 6 5

nb= 28 ::: 39*n + 82= 40*n + 65===> n= 1 7

nb= 29 ::: 39*n + 82= 40*n + 67===> n= 1 5

nb= 30 ::: 40*n + 15= 38*n + 69===> n= 2 7

nb= 31 ::: 40*n + 15= 39*n + 82===> n= 6 7

nb= 32 ::: 40*n + 17= 39*n + 82===> n= 6 5

nb= 33 ::: 40*n + 25= 36*n + 97===> n= 1 8

nb= 34 ::: 40*n + 27= 38*n + 59===> n= 1 6

nb= 35 ::: 40*n + 27= 38*n + 65===> n= 1 9

nb= 36 ::: 40*n + 65= 39*n + 82===> n= 1 7

nb= 37 ::: 40*n + 67= 39*n + 82===> n= 1 5

nb= 38 ::: 46*n + 87= 50*n + 39===> n= 1 2

nb= 39 ::: 46*n + 87= 52*n + 9===> n= 1 3

nb= 40 ::: 47*n + 68= 50*n + 29===> n= 1 3

nb= 41 ::: 47*n + 83= 50*n + 26===> n= 1 9

nb= 42 ::: 47*n + 98= 51*n + 6===> n= 2 3

nb= 43 ::: 47*n + 98= 53*n + 2===> n= 1 6

nb= 44 ::: 48*n + 63= 50*n + 29===> n= 1 7

nb= 45 ::: 48*n + 73= 52*n + 9===> n= 1 6

nb= 46 ::: 49*n + 63= 51*n + 7===> n= 2 8

nb= 47 ::: 49*n + 72= 53*n + 8===> n= 1 6

nb= 48 ::: 49*n + 78= 52*n + 30===> n= 1 6

nb= 49 ::: 49*n + 87= 56*n + 3===> n= 1 2

nb= 50 ::: 50*n + 26= 47*n + 83===> n= 1 9

nb= 51 ::: 50*n + 29= 47*n + 68===> n= 1 3

nb= 52 ::: 50*n + 29= 48*n + 63===> n= 1 7

nb= 53 ::: 50*n + 39= 46*n + 87===> n= 1 2

nb= 54 ::: 52*n + 30= 49*n + 78===> n= 1 6

nb= 55 ::: 57*n + 92= 63*n + 8===> n= 1 4

nb= 56 ::: 58*n + 72= 60*n + 34===> n= 1 9

nb= 57 ::: 58*n + 73= 60*n + 49===> n= 1 2

nb= 58 ::: 58*n + 79= 60*n + 31===> n= 2 4

nb= 59 ::: 58*n + 97= 60*n + 13===> n= 4 2

nb= 60 ::: 59*n + 47= 62*n + 8===> n= 1 3

nb= 61 ::: 59*n + 71= 60*n + 23===> n= 4 8

nb= 62 ::: 59*n + 71= 60*n + 28===> n= 4 3

nb= 63 ::: 59*n + 71= 60*n + 43===> n= 2 8

nb= 64 ::: 59*n + 71= 60*n + 48===> n= 2 3

nb= 65 ::: 59*n + 74= 63*n + 2===> n= 1 8

nb= 66 ::: 59*n + 78= 61*n + 30===> n= 2 4

nb= 67 ::: 59*n + 84= 61*n + 30===> n= 2 7

nb= 68 ::: 59*n + 87= 61*n + 3===> n= 4 2

nb= 69 ::: 60*n + 13= 58*n + 97===> n= 4 2

nb= 70 ::: 60*n + 23= 59*n + 71===> n= 4 8

nb= 71 ::: 60*n + 28= 59*n + 71===> n= 4 3

nb= 72 ::: 60*n + 31= 58*n + 79===> n= 2 4

nb= 73 ::: 60*n + 34= 58*n + 72===> n= 1 9

nb= 74 ::: 60*n + 43= 59*n + 71===> n= 2 8

nb= 75 ::: 60*n + 48= 59*n + 71===> n= 2 3

nb= 76 ::: 60*n + 49= 58*n + 73===> n= 1 2

nb= 77 ::: 61*n + 30= 59*n + 78===> n= 2 4

nb= 78 ::: 61*n + 30= 59*n + 84===> n= 2 7

nb= 79 ::: 65*n + 89= 70*n + 24===> n= 1 3

nb= 80 ::: 68*n + 59= 72*n + 3===> n= 1 4

nb= 81 ::: 68*n + 91= 70*n + 45===> n= 2 3

nb= 82 ::: 69*n + 43= 70*n + 15===> n= 2 8

nb= 83 ::: 69*n + 43= 70*n + 18===> n= 2 5

nb= 84 ::: 69*n + 43= 70*n + 25===> n= 1 8

nb= 85 ::: 69*n + 43= 70*n + 28===> n= 1 5

nb= 86 ::: 69*n + 48= 72*n + 3===> n= 1 5

nb= 87 ::: 69*n + 52= 70*n + 14===> n= 3 8

nb= 88 ::: 69*n + 52= 70*n + 18===> n= 3 4

nb= 89 ::: 69*n + 52= 70*n + 34===> n= 1 8

nb= 90 ::: 69*n + 52= 70*n + 38===> n= 1 4

nb= 91 ::: 69*n + 54= 71*n + 8===> n= 2 3

nb= 92 ::: 69*n + 58= 73*n + 2===> n= 1 4

nb= 93 ::: 69*n + 82= 75*n + 4===> n= 1 3

nb= 94 ::: 69*n + 85= 74*n + 20===> n= 1 3

nb= 95 ::: 70*n + 14= 69*n + 52===> n= 3 8

nb= 96 ::: 70*n + 15= 69*n + 43===> n= 2 8

nb= 97 ::: 70*n + 18= 69*n + 43===> n= 2 5

nb= 98 ::: 70*n + 18= 69*n + 52===> n= 3 4

nb= 99 ::: 70*n + 24= 65*n + 89===> n= 1 3

nb= 100 ::: 70*n + 25= 69*n + 43===> n= 1 8

nb= 101 ::: 70*n + 28= 69*n + 43===> n= 1 5

nb= 102 ::: 70*n + 34= 69*n + 52===> n= 1 8

nb= 103 ::: 70*n + 38= 69*n + 52===> n= 1 4

nb= 104 ::: 70*n + 45= 68*n + 91===> n= 2 3

nb= 105 ::: 74*n + 20= 69*n + 85===> n= 1 3

nb= 106 ::: 76*n + 93= 80*n + 45===> n= 1 2

nb= 107 ::: 79*n + 45= 82*n + 6===> n= 1 3

nb= 108 ::: 79*n + 54= 83*n + 6===> n= 1 2

nb= 109 ::: 80*n + 45= 76*n + 93===> n= 1 2

nb= 110 ::: 87*n + 64= 90*n + 25===> n= 1 3

nb= 111 ::: 87*n + 65= 90*n + 23===> n= 1 4

nb= 112 ::: 90*n + 23= 87*n + 65===> n= 1 4

nb= 113 ::: 90*n + 25= 87*n + 64===> n= 1 3

User Brett Elliot
by
2.6k points
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