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The difference of two numbers is 15% of their sum, the ratio of the larger number to the smaller number is

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The difference of two numbers is 15% of their sum, the ratio of the larger number to the smaller number is (a)23:17 (b) 11:9 (c) 17:11 (d)   23:11 SOLUTION : Let the two number be x and y As per question, x -y = 15 % of ( x+y ) x-y=15/100 * ( x+y ) 100 * (x-y) = 15 * ( x+y )                               x+y = 100 and x-y=15 , solving both equation x=115/2 y=85/2, ratio of larger to smaller is x/y= (115/2)/(85/2) = 23:17   option (a) CLICK HERE FOR VIDEO SOLUTION