find the greates numbers that divides 57,133 and 384,leaving 7,8 and 9 respectively as remainder.
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Answered by
1
Answer: hope it helps
Step-by-step explanation:
Let say Number = N
N - 7 = 57A
A - 8 = 133B
B - 9 = 384C
=> B = 384C + 9
=> A - 8 = 133(384C + 9)
=> A = 51072 C + 1197 + 8
=> A = 51072 C + 1205
N - 7 = 57A
=> N - 7 = 57( 51072 C + 1205)
=> N = 2911104C + 68685 + 7
=> N = 2911104C + 68692
Smallest number = 68692
Answered by
0
Answer:
Let say Number = N
N - 7 = 57A
A - 8 = 133B
B - 9 = 384C
=> B = 384C + 9
=> A - 8 = 133(384C + 9)
=> A = 51072 C + 1197 + 8
=> A = 51072 C + 1205
N - 7 = 57A
=> N - 7 = 57( 51072 C + 1205)
=> N = 2911104C + 68685 + 7
=> N = 2911104C + 68692
Smallest number = 68692
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