A,B.C or D?

Number Theory Level 2

A,B,C and D are positive Integers less than 10. A is three times of B . The difference between Band D is 2. C is 1 less than D. Which is the smallest number ?

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D B A C

Vignesh Rao by Vignesh Rao , 20, India

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1 solution

Venture Hi
Mar 16, 2015

A=9,B=3,,D=5,C=4. D cant be 1 since C is one less than it and all integers>0. So, the smallest number is B.

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Can you explain why A can only be 9? Since B is three times A, A could be 9, 6, or even 3

Abyoso Hapsoro - 6 years, 1 month ago

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Not really, for A other any value then will result in fractional solutions for either D or B. So, it has to be 9.

tanay gaurav - 5 years, 6 months ago

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