Three numbers are in the ratio of 2:5: 7. If their product is 500 times their sum then find the smallest number.
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Let the three numbers be 2x,5x and 7x
It is given that the numbers 2x,5x−7,7x are in A.P
Therefore 2(5x−7)=2x+7x
⇒10x−14=9x
⇒x=14
Therefore the numbers are 28,70,98.
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Step-by-step explanation:
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Hence the smallest number is 28.
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