F2 數學。唔明條題目問咩

2009-10-11 9:15 pm
條題目:

The value of a two-digit number is 3 times the sum of the two digits. if 9 is added to this two-digit number, he new value will be 4 times the sum of the two digits. find the two- digit number.

請翻譯同計算。

回答 (2)

2009-10-11 9:44 pm
✔ 最佳答案
Let the tenth digit be x and the unit digit be y.
So value of the number = 10x + y
so 10x + y = 3(x + y)
10x + y = 3x + 3y
7x = 2y............................(1)
New value of number after adding 9 to it will be 10x + y + 9
so 10x + y + 9 = 4(x + y)
10x + y + 9 = 4x + 4y
6x + 9 = 3y
2x + 3 = y...................(2)
Sub (2) into (1) we get
2x + 3 = 7x/2
4x + 6 = 7x
6 = 3x
x = 2
sub into (1) we get y = 7
so the number is 27.

2009-10-12 6:29 pm
有一個兩位數 (two-digit number), 這個兩位數的數值剛好等於它的個位和十位*之和的3倍. 如果這個兩位數加上9, 這個新的數值便剛好等於它的個位和十位之和的4倍. 求這個兩位數是多少.

* 這個兩位數的 two digits就是指它的個位和十位.

2009-10-12 10:31:27 補充:
計算方法可參考之前那位.


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