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Find three consecutive numbers such that if they are divided by 10, 17, and 26 respectively, the sum of their quotients will be 10.(Hint: Let the consecutive numbers = x , x + 1,x+2, thenx. x + x + 2++10 17 26= 10)​

Answer» LET X, (X+1), (X+2) are 3 consecutive numbers.X/10 + (X+1)/17+ (X+2)/26 =10L.C.M = 4420(442(X) +260(X+1) +170(X+2))/4420=10(442x+260x+260+70x+340)= 4420×10(442x+260x+170x+260+340)=44200872x + 600= 44200872x= 44200- 600872x= 43600X= 43600/872X= 50Ist no. (X)= 50Ist no. (X)= 502nd no.(x+1)= 50+1= 51Ist no. (X)= 502nd no.(x+1)= 50+1= 513rd no.(x+2)= 50+2=52The 3 consecutive numbers are 50, 51, 52Hope this will help you...MARK as brainliestitz HAIFA..❤❤


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