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。