更新时间2019-02-06 11:25:17
(1)□+□□□ = □+□+□□□
(2)□+□+□□□ = □+□+□□□
“九全数字等式”说的是具备以下形态的数学算式:
216+738 = 954
716+238 = 954
这样的算式里包含着1~9不重复的9个数字,但是先决条件是“加法算式必须成立”,就是应该列出数学意义上是正确的式子。( 1 ) 173 + 286 = 459( 2 ) 176 + 283 = 459( 3 ) 183 + 276 = 459( 4 ) 186 + 273 = 459
( 5 ) 173 + 295 = 468( 6 ) 175 + 293 = 468( 7 ) 193 + 275 = 468( 8 ) 195 + 273 = 468
( 9 ) 127 + 359 = 486( 10 ) 129 + 357 = 486( 11 ) 157 + 329 = 486( 12 ) 159 + 327 = 486
( 13 ) 127 + 368 = 495( 14 ) 128 + 367 = 495( 15 ) 167 + 328 = 495( 16 ) 168 + 327 = 495
( 17 ) 162 + 387 = 549( 18 ) 167 + 382 = 549( 19 ) 182 + 367 = 549( 20 ) 187 + 362 = 549
( 21 ) 128 + 439 = 567( 22 ) 129 + 438 = 567( 23 ) 138 + 429 = 567( 24 ) 139 + 428 = 567
( 25 ) 218 + 349 = 567( 26 ) 219 + 348 = 567( 27 ) 248 + 319 = 567( 28 ) 249 + 318 = 567
( 29 ) 182 + 394 = 576( 30 ) 184 + 392 = 576( 31 ) 192 + 384 = 576( 32 ) 194 + 382 = 576
( 33 ) 216 + 378 = 594( 34 ) 218 + 376 = 594( 35 ) 276 + 318 = 594( 36 ) 278 + 316 = 594
( 37 ) 152 + 487 = 639( 38 ) 157 + 482 = 639( 39 ) 182 + 457 = 639( 40 ) 187 + 452 = 639
( 41 ) 251 + 397 = 648( 42 ) 257 + 391 = 648( 43 ) 291 + 357 = 648( 44 ) 297 + 351 = 648
( 45 ) 218 + 439 = 657( 46 ) 219 + 438 = 657( 47 ) 238 + 419 = 657( 48 ) 239 + 418 = 657
( 49 ) 182 + 493 = 675( 50 ) 183 + 492 = 675( 51 ) 192 + 483 = 675( 52 ) 193 + 482 = 675
( 53 ) 281 + 394 = 675( 54 ) 284 + 391 = 675( 55 ) 291 + 384 = 675( 56 ) 294 + 381 = 675
( 57 ) 215 + 478 = 693( 58 ) 218 + 475 = 693( 59 ) 275 + 418 = 693( 60 ) 278 + 415 = 693
( 61 ) 143 + 586 = 729( 62 ) 146 + 583 = 729( 63 ) 183 + 546 = 729( 64 ) 186 + 543 = 729
( 65 ) 142 + 596 = 738( 66 ) 146 + 592 = 738( 67 ) 192 + 546 = 738( 68 ) 196 + 542 = 738
( 69 ) 124 + 659 = 783( 70 ) 129 + 654 = 783( 71 ) 154 + 629 = 783( 72 ) 159 + 624 = 783
( 73 ) 214 + 569 = 783( 74 ) 219 + 564 = 783( 75 ) 264 + 519 = 783( 76 ) 269 + 514 = 783
( 77 ) 134 + 658 = 792( 78 ) 138 + 654 = 792( 79 ) 154 + 638 = 792( 80 ) 158 + 634 = 792
( 81 ) 243 + 576 = 819( 82 ) 246 + 573 = 819( 83 ) 273 + 546 = 819( 84 ) 276 + 543 = 819
( 85 ) 352 + 467 = 819( 86 ) 357 + 462 = 819( 87 ) 362 + 457 = 819( 88 ) 367 + 452 = 819
( 89 ) 142 + 695 = 837( 90 ) 145 + 692 = 837( 91 ) 192 + 645 = 837( 92 ) 195 + 642 = 837
( 93 ) 241 + 596 = 837( 94 ) 246 + 591 = 837( 95 ) 291 + 546 = 837( 96 ) 296 + 541 = 837
( 97 ) 317 + 529 = 846( 98 ) 319 + 527 = 846( 99 ) 327 + 519 = 846
( 100 ) 329 + 517 = 846( 101 ) 125 + 739 = 864( 102 ) 129 + 735 = 864
( 103 ) 135 + 729 = 864( 104 ) 139 + 725 = 864( 105 ) 271 + 593 = 864
( 106 ) 273 + 591 = 864( 107 ) 291 + 573 = 864( 108 ) 293 + 571 = 864
( 109 ) 214 + 659 = 873( 110 ) 219 + 654 = 873( 111 ) 254 + 619 = 873
( 112 ) 259 + 614 = 873( 113 ) 234 + 657 = 891( 114 ) 237 + 654 = 891
( 115 ) 254 + 637 = 891( 116 ) 257 + 634 = 891( 117 ) 324 + 567 = 891
( 118 ) 327 + 564 = 891( 119 ) 364 + 527 = 891( 120 ) 367 + 524 = 891
( 121 ) 243 + 675 = 918( 122 ) 245 + 673 = 918( 123 ) 273 + 645 = 918
( 124 ) 275 + 643 = 918( 125 ) 342 + 576 = 918( 126 ) 346 + 572 = 918
( 127 ) 372 + 546 = 918( 128 ) 376 + 542 = 918( 129 ) 341 + 586 = 927
( 130 ) 346 + 581 = 927( 131 ) 381 + 546 = 927( 132 ) 386 + 541 = 927
( 133 ) 152 + 784 = 936( 134 ) 154 + 782 = 936( 135 ) 182 + 754 = 936
( 136 ) 184 + 752 = 936( 137 ) 162 + 783 = 945( 138 ) 163 + 782 = 945
( 139 ) 182 + 763 = 945( 140 ) 183 + 762 = 945( 141 ) 317 + 628 = 945
( 142 ) 318 + 627 = 945( 143 ) 327 + 618 = 945( 144 ) 328 + 617 = 945
( 145 ) 216 + 738 = 954( 146 ) 218 + 736 = 954( 147 ) 236 + 718 = 954
( 148 ) 238 + 716 = 954( 149 ) 271 + 683 = 954( 150 ) 273 + 681 = 954
( 151 ) 281 + 673 = 954( 152 ) 283 + 671 = 954( 153 ) 215 + 748 = 963
( 154 ) 218 + 745 = 963( 155 ) 245 + 718 = 963( 156 ) 248 + 715 = 963
( 157 ) 314 + 658 = 972( 158 ) 318 + 654 = 972( 159 ) 354 + 618 = 972
( 160 ) 358 + 614 = 972( 161 ) 235 + 746 = 981( 162 ) 236 + 745 = 981
( 163 ) 245 + 736 = 981( 164 ) 246 + 735 = 981( 165 ) 324 + 657 = 981
( 166 ) 327 + 654 = 981( 167 ) 354 + 627 = 981( 168 ) 357 + 624 = 981
“十全等式”的答案共有48个: