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let a1,a2,a3...........a10 be integers such that 0<a1<a2<a3................<a10 if S=a1+a2+a3 +........+a10 then

110<= S<= 55

110<=S

55<=S

55<=S<=110

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According to question ,  we can let 0<a1<a2<a3................<a10 

suppose , let integer      1, 2, 3,4,5,6,7,8,9,10 

Smin  = 1+2+3+.........+10 = 55

Thus, we can say that S should  be greater than equal to 55. 

S > = 55     Ans

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