Question

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

Answer 1

$\huge\bold{Given :}$

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

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

➼ $\: - 8 \times x = - 112$

➼ $\: x = \frac{ - 112}{ - 8}$

➼ $\: x = 14$

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

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

$- 8 \times 14 = - 112$

➺ $\: - 112 = - 112$

➺ L. H. S. = R. H. S

Hence verified.

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

Answer 2

Answer:

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.

Step-by-step 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 $\frac{-112}{-8}$ or 14.