Question

the product of two integers is 176 if one of them is - 16 find the other one step by step write the answer

Answer 1

Answer:

The other integer is -11

Step-by-step explanation:

Let integers be x and y

x = -16

Product : 176

x*y = 176 (substitute)

-16*y = 176

y = -11

hope it helps

PLS MARK AS BRAINLIEST

Answer 2

Answer:

Given:-

The product of two integers is 176, if one of them is - 16. Find the other number.

To Find:-

The other number.

Note:-

●》Here in question tells that, First integer ( - 16 ) × Other integer = Their product ( 176 ); So, we will use this formula to find the other number.

●》For finding unknown value, known value needs to be transposed and signs are also changed or not. For example - Multiple becomes Divisional ( signs are not changed ).

Solution:-

$\huge\red{First \ \ integer = - 16}$

$\huge\red{Product \ \ of \ \ first \ \ and \ \ second \ \ integer = 176}$

$\huge\red{\ \ \ \ Other \ \ integer = ?, Let \ \ it \ \ be \ \ "x"}$

☆ According to note first point~

▪︎$First \ \ integer × Other \ \ integer = Their \ \ product$

▪︎$- 16 × x = 176$

▪︎$- 16x = 176$

☆ According to note second point~

▪︎$x = - \ \frac{176}{16}$

☆ After doing calculations~

▪︎$x = - 11$

$\huge\pink{Other \ \ integer = x => - 11}$

Checking:-

♤ Let's check that First integer × Other integer = Their product or not.

• $First \ \ integer × Other \ \ integer = Their \ \ product \ \ ?$

• $- 16 × - 11 = 176 \ \ ?$

• $176 = 176 \ \ ?$

♤ Yes!

$\huge\green{Hence, Proved : Other \ \ integer = - 11}$

Answer:-

Hence, the other integer = - 11.

:)