首页 > 话题 > GMAT数学 > x、y、z都是正整数，x+y被5除余1，y+z被5除余2，x+z被5除余3，问x+y+z被5除余多少？
GMAT数学

x、y、z都是正整数，x+y被5除余1，y+z被5除余2，x+z被5除余3，问x+y+z被5除余多少？

看了录播，老师上课讲的是 （x+y）+（y+z）+（x+z）被5除余数相加1+2+3=6 （x+y）+（y+z）+（x+z）=2*（x+y+z） x+y+z被5除余3 但是如果按照同余定理不应该是1+2+3=6 ，6除以5的余数和2*（x+y+z）除以5余数相同吗? 为啥1+2+3=6 可以直接当2*（x+y+z）除以5的余数？
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