Question

The product of two integers is (-112).
If one of them is (-8), find the other.​

Answer 1

If the product of two integers is -112 and one of them is -8, that means the value of the second integer would be 14.

Explanation:

The product of two integers equals -112 means that there are two numbers that, when multiplied, were equivalent to -112. Since you know one of the integers is -8, you can infer that the second integer is both a positive number AND the remainder of
`(-112)/(-8)` or 14.

Answer 2

`\huge\bold{Given :}`

Product of two integers = - 112

One of the integer = -8

`\huge\bold{To\:find :}`

The other integer.

`\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}`

`\sf\blue{The \:other \:integer\:is\: 14.}`

`\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}`

Let the other integer be
`x`.

As per the question, we have

`Product \: \: of \: \: two \: \: integers = - 112`

➼
`\: - 8 * x = - 112`

➼
`\: x = ( - 112)/( - 8)`

➼
`\: x = 14`

`\sf\purple{Therefore,\:the\:other\:integer\:x\:is\:14.}`

`\huge\bold{To\:verify :}`

`- 8 * 14 = - 112`

➺
`\: - 112 = - 112`

➺ L. H. S. = R. H. S

Hence verified.

`\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}`