聯立二元一次方程的誌應用(plz help!!) 5點

2011-12-29 6:58 pm
兩年前,百慧和有和年齡的和是53。10年後,百慧的年齡將是有和的5」6 (6分之5)。百慧今年是多少歲?(我要算式+步驟+答案)

回答 (1)

2011-12-29 7:28 pm
✔ 最佳答案
Let 百慧 present age = x
Let 有和 present age = y
2 years ago, their age is (x - 2) and (y - 2) respectively.
so (x - 2) + (y - 2) = 53
x + y = 57 ......................(1)
10 years later, their age is (x + 10) and (y + 10) respectively.
so (x + 10) = (5/6)(y + 10)
6(x + 10) = 5(y + 10)
6x + 60 = 5y + 50
6x - 5y = - 10 .................(2)
(1) x 5 + (2) we get
11x = 275
x = 275/11 = 25.
so百慧 present age = 25.



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