Question 935614
four consecutive integers can be expressed as {{{x}}}, {{{x+1}}}, {{{x+2}}},{{{x+3}}} where {{{x}}} is the smallest of the four

if the sum of four consecutive integers decreased by {{{18}}} is greater than twice the smallest of the four, we have

{{{x+x+1+x+2+x+3-18>2x}}}

{{{4x+6-18>2x}}}

{{{4x-12>2x}}}

{{{4x-2x>12}}}

{{{2x>12}}}

{{{x>6}}}

integers are: {{{7}}},{{{8}}},{{{9}}},{{{10}}}

check:

 {{{7+8+9+10-18>2*7}}}

 {{{34-18>14}}}

{{{16>14}}}