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The cube of number is 8 times the cube of another number. If the sum of the cubes of the numbers is 243, then find the difference of the number
Dear StudentLet one number be x and the other number be y.Given that,Cube of one number is 8 times the cubes of otherx³=8y³.................(1)Also,Sum of the cube of these numbers is 243.x³+y³=243......(2)Now,Solving the equation,x³+y³=243y³+8y³=243 [Using (1)]9y³=243y³=27y=3Substituting y=3 in (1),x³ = 8y³x³ = 8(3)³x³ = 8(27)x³ = 216x = 6Now,Difference of the numbers:x-y=6-3=3Hence, the difference between both numbers is 3.Thanks
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