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Show Steps:
Find the smallest positive integer x such that
• x is divisible by 22 · 3 · 112;
• x + 1 is divisible by 72;
• x + 2 is divisible by 2 · 53;
• x + 3 is divisible by 34
Solution
This problem has no solution. If x is divisible by 22 · 3 · 112, then x must be even.
If x+1 is divisible by 72, then x+1 is even. x and x+1 cannot both be even.

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Show StepsFind the smallest positive integer x such that • x is.pdf

  • 1. Show Steps: Find the smallest positive integer x such that • x is divisible by 22 · 3 · 112; • x + 1 is divisible by 72; • x + 2 is divisible by 2 · 53; • x + 3 is divisible by 34 Solution This problem has no solution. If x is divisible by 22 · 3 · 112, then x must be even. If x+1 is divisible by 72, then x+1 is even. x and x+1 cannot both be even.