如果两个整数的和它们的差,乘积是77,那么这两个数是几和几

2025-03-22 17:34:41
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回答1:

(a + b)(a - b) = 77,
由于77只存在7 x 11与1x77两种情况,则可得四个方程组:
1)
a + b = 7
a - b = 11
解 a = 9, b = -2
2)
a + b = 11
a - b = 7
解:a = 9, b =2
3)
a + b = 1
a - b = 77
解:a = 39, b = -38
4)
a + b = 77
a - b = 1
解 a = 39, b = 38