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that is the least positive number that you can divide by 7 and get a remainder of 4, divide by 8 and get a remainder of 5, and divide by 9 and get a remainder of6? it has to be the same number

2007-03-07 19:55:32 · 3 answers · asked by Anonymous in Science & Mathematics Mathematics

3 answers

Let n be the number

condition 1: n/7 = x remainder 4

condition 2: n/8 = y remainder 5

condition 3: n/9 = z remainder 6

note:

7=7(1)

8=2(2)(2)

9=3(3)

observe from the 3 conditions:

7-4 =3
8-5=3
9-6=3

therefore, n=7(1)(2)(2)(2)(3)(3) - 3

n = 501

to check:
(501-4)/7=71 ....ok
(501-5)/8=62 ....ok
(501-6)/9=55 ....ok

2007-03-07 20:06:20 · answer #1 · answered by datz 2 · 0 0

the answer is x=501

That is
x=7a+4
x=8b+5
x=9c+6
where
a=71
b=62
c=55

2007-03-08 04:46:23 · answer #2 · answered by iyiogrenci 6 · 0 0

i give up.

2007-03-08 04:11:31 · answer #3 · answered by nag 2 · 0 0

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