Question

Consider the following 8 numbers, where one labelled x is unknown. 4, 32, 6, x , 10, 3, 35, 37 Given that the range of the numbers is 64, work out 2 values of x

Answer 1

Answer:

$\boxed{x=-27, \: x=67}$

Step-by-step explanation:

There can be two values of x.

The range is largest no. - smallest no.

Range = 64

Let x be the smallest no.

largest no. from the list is 37

37 - x = 64

-x = 64 - 37

x = -27

Let x be the largest no.

smallest no. from the list is 3

x - 3 = 64

x = 64 + 3

x = 67

Answer 2

Answer:

x = -27 , x = 67

Step-by-step explanation:

Given data : 4 , 32 , 6 , x , 10 , 3 , 35 , 37

Range = 64

Range is the difference between highest term and lowest term.

Here, highest term is 37 and lowest term is 3. Hence, x can be highest or lowest term.

37 - x = 64

Move constant to R.H.S and change its sign

-x = 64 - 37

Calculate the difference

-x = 27

Change the signs on both sides of the equation

x = -27

Again,

x - 3 = 64

Move constant to R.H.S and change its sign

x = 64 + 3

Calculate the sum

x = 67

So, possible values of X are:

-27 and 67

Hope this helps...

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