if the same number be added to the numbers 5,11,15 and 31, the resulting numbers are in proportion. Find the number
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23
Let the no. to be added be x Therefore, A.T.Q. 5+x/11+x=15+x/31+x On cross multiplying we get, 155+5x+31x+x^2=165+11x+15x+x^2 155+36x=165+26x 36x-26x=165-155 10x=10 Therfore x=10/10 1 ans.
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the number is 1 if we add one the proportion is 1:2:1:2
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