document.write( "Question 1084417: Find three smallest consecutive natural numbers such that the difference between one - third of the largest and one - fifth of the smallest is atleast 3. \n" ); document.write( "

Algebra.Com's Answer #698623 by htmentor(1343) $\"\"$ $\"About$

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Let the numbers be n, n+1 and n+2
\n" ); document.write( "(1/3)(n+2) - (1/5)n >= 3
\n" ); document.write( "n/3 + 2/3 - n/5 >= 3
\n" ); document.write( "2n/15 >= 7/3
\n" ); document.write( "2n >= 35
\n" ); document.write( "n >= 17 1/2
\n" ); document.write( "The next integer greater than 17 1/2 is 18
\n" ); document.write( "Thus the three smallest numbers satisfying the condition are 18, 19 and 20 \n" ); document.write( "

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