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If 60% of x is equal to 10% of sum of y and z and 72% of x is equal to 24% of difference of y and z,…

From \(0.60x = 0.10(y + z)\), we get \(y + z = 6x\). From \(0.72x = 0.24(y - z)\), we get \(y - z = 3x\). Solving these gives \(y = 4.5x\) and \(z = 1.5x\), so \(x : y : z =…

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If 60% of x is equal to 10% of sum of y and z and 72% of x is equal to 24% of difference of y and z, then which of the following is equal to x : y : z ?

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Correct answer B

From 0.60x=0.10(y+z)0.60x = 0.10(y + z), we get y+z=6xy + z = 6x. From 0.72x=0.24(y−z)0.72x = 0.24(y - z), we get y−z=3xy - z = 3x. Solving these gives y=4.5xy = 4.5x and z=1.5xz = 1.5x, so x:y:z=1:4.5:1.5=2:9:3x : y : z = 1 : 4.5 : 1.5 = 2 : 9 : 3.

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