数学难题!!!(英文+数学)

来源:百度知道 编辑:UC知道 时间:2024/06/23 23:37:26
老师让我们做一道难题,而且一定要做
小女实在不才
请各位数学高手献策!!!
find the factor

digit number is 3 times the sum of its digits.
If the 2 digits are reveresed, the number is x times the sum of its digits.

what is the value of X ?
上面有一个单词打错了!!!!!!
这是正确的!!!!!!!!!!

digit number is 3 times the sum of its digits.
If the 2 digits are reversed, the number is x times the sum of its digits.

what is the value of X ?

from digit number is 3 times the sum of its digits.
we can see that it's a 2 digit number m is十位数 and n is个位数

10m+n=3(m+n)

from second line
we can use the reverse of m&n

10n+m=x(m+n)

then add these two eqn. up

11m+11n=(x+3)(m+n)
11(m+n)=(x+3)(m+n)
11=x+3
x=8

A two-digit number is 3 times the sum of its digits.
If the 2 digits are reversed, the number is x times the sum of its digits.

一个两位数是它每位数之和的三倍。
如调换这个两位数的数字位置,问它是原数每位数之和的多少倍。

答:27=3*(2+7)
72=9x --> x=8

翻译:一个两位数,是其各位数字之和的三倍.交换个位与十位.所得是各位数字之和的x倍.求x.
10a+b=3(a+b)
7a=2b
a=2 b=7
10a+b=27
a+b=9
x=(10b+a)/(a+b)=8