ab两个数的最大公因数是六,小公倍数是123,已知a加b等于78,两个数分别是多少
AB\u7684\u6700\u5927\u516c\u56e0\u6570\u662f6\uff0c\u6700\u5c0f\u516c\u500d\u6570\u662f132\uff0c\u5df2\u77e5A+B\u7b49\u4e8e78\uff0c\u8bf7\u95ee\u8fd9\u4e24\u4e2a\u6570\u662f\u591a\u5c11\uff1f\u4ee5\u4e0a\u56de\u7b54\u90fd\u6709\u5c40\u9650\u6027\uff0c\u5982\u679c\u6570\u7279\u522b\u5927\u600e\u4e48\u529e\u5462\uff1f
\u7531\u201cAB\u7684\u6700\u5927\u516c\u56e0\u6570\u662f6\uff0c\u6700\u5c0f\u516c\u500d\u6570\u662f132\u201d\u5f97
a * b = 132 * 6 = 792 \uff08\u4e24\u4e2a\u6570\u7684\u6700\u5927\u516c\u7ea6\u6570\u548c\u6700\u5c0f\u516c\u500d\u6570\u7684\u4e58\u79ef\u7b49\u4e8e\u4e24\u6570\u7684\u4e58\u79ef\uff0c\u8fd9\u4e00\u6b65\u662f\u5173\u952e\uff09
\u53c8 a + b = 78
\u6240\u4ee5
a = 66
b = 12
\u6216
a = 12
b = 66
132\u00f76\uff1d22\uff1d2\u00d711
78\u00f76\uff1d13\uff1d2\uff0b11
\u8fd9\u4e24\u4e2a\u6570\u5206\u522b\u662f
6\u00d72\uff1d12
6\u00d711\uff1d66
a * b = 132 * 6 = 792 (两个数的最大公约数和最小公倍数的乘积等于两数的乘积,这一步是关键)
又 a + b = 78
所以
a = 66
b = 12
或
a = 12
b = 66
求给个好评 谢谢
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