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8 13. Find their present ages.Two numbers are in the ratio 2:3 and the differences of their squares is 320. Findthe numbers8.[ 16, 24]

Answer»

Given: Two numbers are in ratio 2:3Solution:(3X)^2 - (2X)^2 = 3209X^2 - 4X^2 = 3205X^2 = 320X^2 = 64X = 83X = 24 ; 24 / 8 = 32X = 16 ; 16 / 8 = 224^2 = 57616^2 = 256576 - 256 = 320Therefore the numbers are 16 and 24.



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