Question

The product of two integers is -160 if one of them is 8 find the other​

Answer 1

Hey ! there

Answer:

• Other number is -20

Explanation:

In this question we are given that the product of two integers is -160 and one of them is 8 . And we are asked to find the other integer .

For finding the other integer we are assuming ,

• Other integer as ' x '

And now we can find other Integer by making equation and solving it .

SOLUTION : -

Equation is :

`\quad \dashrightarrow \qquad \: 8 * x = - 160`

or ,

`\quad \dashrightarrow \qquad \: 8x = - 160`

To isolate the variable x , We are dividing both sides by 8 :

`\quad \dashrightarrow \qquad \: \frac{ \cancel{8}x}{ \cancel{8}} = \cancel{ ( - 160)/(8) }`

On simplifying it , We get :

`\quad \dashrightarrow \qquad \: \red{\underline{\boxed{\frak{x = - 20}}}} \quad \bigstar`

• Henceforth , the other integer is ❝ -20 ❞.

Verifying : -

Now we are verifying whether our answer is wrong or right by substituting value of x in the equation . So ,

• 
  `8 * x = - 160`

Substituting value of x :

• 
  `8 * - 20 = - 160`

Multiplying 8 with - 20 :

• 
  `- 160 = - 160`

• 
  `\rm{L.H.S = R.H.S}`

• 
  `\rm{Hence , Verified .}`

Therefore , of answer is correct .

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Answer 2

• The other integer is -20

`\:`

Explanation:

`\:`

Given,

• The product of two integers is -160.

• One of the integers is 8

`\:`

To Find,

• The other integer.

`\:`

Solution,

• Let us assume the other integer as x

`\:`

So, The equation will be :

`\\ \longrightarrow \qquad{ \ {{ { \sf{x * 8= - 160}}}}} \\ \: \:`

`\longrightarrow \qquad{ \ {{ { \sf{8x= - 160}}}}} \\ \: \:`

Now, Let us divide both sides by 8 :

`\\ \longrightarrow \qquad{ \ {{ { \sf{ (8x)/(8) = ( - 160)/(8) }}}}} \\ \: \:`

`\longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{x= - 20}}}}} \: \: \bigstar \: \\`

Therefore,

• The other integer is -20