Respuesta :

TheAmethyst

Hey ! there

Answer:

  • Other number is -20

Step-by-step 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 :

[tex] \quad \dashrightarrow \qquad \: 8 \times x = - 160[/tex]

or ,

[tex] \quad \dashrightarrow \qquad \: 8x = - 160[/tex]

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

[tex] \quad \dashrightarrow \qquad \: \dfrac{ \cancel{8}x}{ \cancel{8}} = \cancel{ \dfrac{ - 160}{8} }[/tex]

On simplifying it , We get :

[tex] \quad \dashrightarrow \qquad \: \red{\underline{\boxed{\frak{x = - 20}}}} \quad \bigstar[/tex]

  • 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 ,

  • [tex]8 \times x = - 160[/tex]

Substituting value of x :

  • [tex]8 \times - 20 = - 160[/tex]

Multiplying 8 with - 20 :

  • [tex] - 160 = - 160[/tex]

  • [tex] \rm{L.H.S = R.H.S}[/tex]

  • [tex] \rm{Hence , Verified .}[/tex]

Therefore , of answer is correct .

#Keep Learning

Answer:

  • The other integer is -20

[tex] \: [/tex]

Step-by-step explanation:

[tex] \: [/tex]

Given,

  • The product of two integers is -160.

  • One of the integers is 8

[tex] \: [/tex]

To Find,

  • The other integer.

[tex] \: [/tex]

Solution,

  • Let us assume the other integer as x

[tex] \: [/tex]

So, The equation will be :

[tex] \\ \longrightarrow \qquad{ \ {{ { \sf{x \times 8= - 160}}}}} \\ \: \: [/tex]

[tex] \longrightarrow \qquad{ \ {{ { \sf{8x= - 160}}}}} \\ \: \: [/tex]

Now, Let us divide both sides by 8 :

[tex] \\ \longrightarrow \qquad{ \ {{ { \sf{ \frac{8x}{8} = \frac{ - 160}{8} }}}}} \\ \: \: [/tex]

[tex] \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{x= - 20}}}}} \: \: \bigstar \: \\ [/tex]

Therefore,

  • The other integer is -20