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Question

A number x lies between the cubes of 6 and 8 in such a way that if you add or subtract the number y from it you will get the cube of 8 or 6 respectively. Find the numbers x and y.  [4 MARKS]


Solution

Concept: 1 Mark
Application: 3 Marks

The number x lies between the cube of 6 and 8 i.e between 216 and 512

Also Given

x + y = cube of 8 = 512.............(1)
x - y = cube of 6 =216................(2)

Adding Equation (1) and (2), we get

2x=512+216
x=364

Substituting the value of x in eq.(1)

364+y=512
y=148
 

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