maths questions

wai lam

2007-09-30 8:03 pm

1. If 1st January 2050 is monday, what is the day of the week of 1st July 2050?

2. If A and B are positive numbers such that 27/A = B ..... 3, how many ways can we fill in the values of A and B ?

3. If AB X BA = 3154 ,, what is the value of A and B ?( they are two different numbers.)

回答 (1)

KGPPRA

2007-09-30 9:22 pm

✔ 最佳答案

1)the days between 1st January 2050 and 1st July 2050 have:
31+28+31+30+31+30=181
181/7=25.......6
so If 1st January 2050 is monday,1st July 2050 should be sunday

2)we can written as follow
27=AB+3
24=AB

the following may be the answer
let the first term is the value of A....the second is B

AxB can be

1x24
2x12
3x8
4x6
6x4
8x3
12x2
24x1

A must be >3...because the remainder is 3

so the possoble value of AB are

4,6
6,4
8,3
12,2
24,1

3.
3154/2 =1577
1577/19=83
so 3154=2x19x83
3154=38x83

AB=38 or 83

when A=3 ,B=8
when A=8 ,B=3

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