Three numbers are in AP and their sum is 21. If 1,5 ,15 are added to them respectively, they form a G.P. The numbers are
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let x,y,z are in ap
x+y+z= 21 ,2y=x+z=21
x+1,y+5,z+15 form gp
2y+10= [x+1] [z+15]
2y+10= xz+15x+z+15
2y-5= xz+z+15x
now you can solve
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