Question

x is an integer between 50 and 70.writrr down the value of x -when x is a cube numbers
-x is a prime factor of 268​

Answer 1

$\textcolor{red}{SOLUTION}$

x is an integer between 50 and 70

Then

• value of x when x is a cube numbers is 64

Since

$64 = {4}^{3}$

• x is a prime factor of 268 then x is 67

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Answer 2

The values of x are 64 and 67.

Given:

X is an integer between 50 and 70.

To Find:

Value of x when x is a cube number  and x is a prime factor of 268​.

Solution:

When x is a cube of a number and is between 50 and 70 then,

the value of x will be 64 because,

∛64 = 4 and it also lies between 50 and 70.

When x is a prime factor of 268 then the value of x will be 67 because,

the factors of 268 are 1, 2, 4, 67, 134, 268 and the only prime number is 67 and it lies between 50 and 70.

Therefore, the values of x are 64 and 67.

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