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find-the-value-of-111-1-1-1-222-2-2-2-333-3-3-3-444-4-4-4-555-5-5-5-666-6-6-6-777-7-7-7-888-8-8-8-999-9-9-9-

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Question Number 115484 by bemath last updated on 26/Sep/20
find the value of ((111)/(1+1+1)) , ((222)/(2+2+2)) , ((333)/(3+3+3)), ((444)/(4+4+4)) ((555)/(5+5+5)), ((666)/(6+6+6)) , ((777)/(7+7+7)) , ((888)/(8+8+8)) ((999)/(9+9+9))
$${find}\:{the}\:{value}\:{of}\: \\ $$$$\frac{\mathrm{111}}{\mathrm{1}+\mathrm{1}+\mathrm{1}}\:,\:\frac{\mathrm{222}}{\mathrm{2}+\mathrm{2}+\mathrm{2}}\:,\:\frac{\mathrm{333}}{\mathrm{3}+\mathrm{3}+\mathrm{3}},\:\frac{\mathrm{444}}{\mathrm{4}+\mathrm{4}+\mathrm{4}} \\ $$$$\frac{\mathrm{555}}{\mathrm{5}+\mathrm{5}+\mathrm{5}},\:\frac{\mathrm{666}}{\mathrm{6}+\mathrm{6}+\mathrm{6}}\:,\:\frac{\mathrm{777}}{\mathrm{7}+\mathrm{7}+\mathrm{7}}\:,\:\frac{\mathrm{888}}{\mathrm{8}+\mathrm{8}+\mathrm{8}} \\ $$$$\frac{\mathrm{999}}{\mathrm{9}+\mathrm{9}+\mathrm{9}} \\ $$
Commented by Dwaipayan Shikari last updated on 26/Sep/20
Every value is 37
$$\mathrm{Every}\:\mathrm{value}\:\mathrm{is}\:\mathrm{37} \\ $$
Commented by bemath last updated on 26/Sep/20
Commented by Dwaipayan Shikari last updated on 26/Sep/20
((N(111))/(3N))=37
$$\frac{\mathrm{N}\left(\mathrm{111}\right)}{\mathrm{3N}}=\mathrm{37} \\ $$
Answered by Olaf last updated on 26/Sep/20
((111n)/(3n)) = ((111)/3) = 37
$$\frac{\mathrm{111}{n}}{\mathrm{3}{n}}\:=\:\frac{\mathrm{111}}{\mathrm{3}}\:=\:\mathrm{37} \\ $$

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