✔ 最佳答案
1.
Let no. of person = x
No. of Coke = x/2
No. of 7 - up = x/3
No. of Orange Juice = x/4
x/2 + x/3 + x/4 = 117
6x + 4x + 3x = 117 x 12 = 1404
x = 1404/13 = 108 = no. of persons.
2.
A + B + C + D + E = 100
Since D + E = 30
so A + B + C + 30 = 100
A + B + C = 70
Since A + B = 52
so 52 + C = 70
C = 70 - 52 = 18.
B = 43 - C = 43 - 18 = 25
18 + D = 34
D = 34 - 18 = 16
16 + E = 30
E = 30 - 16 = 14.
So A = 27, B = 25, C = 18, D = 16 and E = 14. Total = 100.
3.
Let Keung's age = x. Ming's age = y
x^2 + y = 62 ........(1)
y^2 + x = 176 ......(2)
From (1)
y = 62 - x^2
Notice that both x and y must be positive integers. So only possibilities are :
x y
1 61
2 58
3 53
4 46
5 37
6 26
7 13.
From these 7 sets, only the set x = 7, y = 13 meets equation (2).
So Keung is 7 and Ming is 13.