請教幾條中一程度數學題目(英文)20點~~

你好～～～1 the hcf and lcm of two numbers are 6 and 108 resrectively. if the two numbers are 12 and x,find x.(hint:x is a multiple of 6 and a factor of 108)Solution:108 = 2 * 2 * 3 * 3 * 312 = 2 * 2 * 3根據提示，x 只可以等於 2 * 3 * 3 * 3 = 54
所以 x = 54。(假若是 2 * 3 * 3 = 18 的話，LCM 則是 36，而不是 108。)
2 there are two numbers.neither of them is a multiple of the other.find two pairs of possible values of the numbers if their HCF is 16.Solution:16 = 2 * 2 * 2 * 2是使這兩個數的 HCF 成為 16 的話，可以考慮在 16 後乘另外的數字。2 * 2 * 2 * 2 * 3 = 482 * 2 * 2 * 2 * 5 = 80所以 48 及 80 是其中一組。2 * 2 * 2 * 2 * 7 = 112 2 * 2 * 2 * 2 * 11 = 176112 及 176 又是另外的一組。

3Correct the mistakes in the following questions
<A>If A is 10% greater than B and A=110,
then B=110乘(1-10%)
=99Solution:A = B(1 + 10%)A / (1 + 10%) = B110 / 1.1 = BB = 100

<B>if A is greater than B is less than C by 10% then
A=B乘(1+10%)
=1.1B
and C=B乘(1+10%)
=1.1B
A is the same as CSolution:A = B(1 + 10%)A = 1.1BB = C(1 - 10%)B = 0.9CB / 0.9 = CC = 10B / 9A is not the same as C.


4 john spens one -third of his money to buy a toy.then he spends $20 for food . if he spends $37 in total ,how much money does he have at the beginning?(let the money he has at the beginning be $x)Solution:x / 3 + 20 = 37x / 3 = 17x = 51So, he has $51 at the beginning.

5a wire of 72 cm long is bent into a rectangle. if the length of the rectangle is 19cm,find the width of the rectangle.
Solution:Let the width be y cm.2y + 19 * 2 = 722y = 72 - 38y = 34 / 2y = 17So, the width of the rectangle is 17cm.希望可以幫到你～～～～～