问题 填空题

A certain fraction is equivalent to . If the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to . What is the sum of the numerator and denominator of the original fraction ?()

答案

参考答案:21

解析:

设原分数的分子为x分母为y,则根据题意可得:

[*]

由方程(1)可得2y=5x,把它代入方程(2)可得[*],y=15,所以原分数的分子与分母的和为x+y=21。

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