
a)Write a pair of negative integers whose difference gives 8.
b)Write a negative integer and a positive integer whose sum is .
c)Write a negative integer and a positive integer whose difference is .
Answer
491.1k+ views
Hint: To solve the first part of the question we will assume two negative integers and form an equation according to the given condition. We will then substitute any value of negative integer and substitute in the obtained equation to find the second integer.
To solve the second and third part of the question, we will assume one negative integer and one positive integer and form an equation according to the given condition. We will then substitute any value of negative integer and substitute in the obtained equation to find the second integer.
Complete step by step solution:
(a)
Let us assume that and are two negative integers.
Now we are given that their difference is 8 so we can write it as,
Rewriting the above equation, we get
Now let us consider and put it in the above equation we get,
So a pair of negative integers whose difference gives 8 is
(b) Let us assume that is a negative integer and is a positive integer.
Thus according to given condition we can write it in a equation form as
Rewriting the above equation, we get
Now let us consider in the above equation, we get
Therefore, a pair of negative integer and a positive integer whose sum is -5 is
(c) Let us consider as negative integer and as a positive integer.
According to the given condition we can write
Rewriting the above equation, we get
Now let us take and substitute it in the above equation. Therefore, we get
Therefore, a pair of negative integer and a positive integer whose difference is -3 is
Note: Here we need to read the conditions carefully then form the equation. As here it is not mentioned which pair of integers we have to take, so we can substitute any value of one variable in the equations to find the second variable. Integer includes both positive and negative numbers but does not include fractions.
To solve the second and third part of the question, we will assume one negative integer and one positive integer and form an equation according to the given condition. We will then substitute any value of negative integer and substitute in the obtained equation to find the second integer.
Complete step by step solution:
(a)
Let us assume that
Now we are given that their difference is 8 so we can write it as,
Rewriting the above equation, we get
Now let us consider
So a pair of negative integers whose difference gives 8 is
(b) Let us assume that
Thus according to given condition we can write it in a equation form as
Rewriting the above equation, we get
Now let us consider
Therefore, a pair of negative integer and a positive integer whose sum is -5 is
(c) Let us consider
According to the given condition we can write
Rewriting the above equation, we get
Now let us take
Therefore, a pair of negative integer and a positive integer whose difference is -3 is
Note: Here we need to read the conditions carefully then form the equation. As here it is not mentioned which pair of integers we have to take, so we can substitute any value of one variable in the equations to find the second variable. Integer includes both positive and negative numbers but does not include fractions.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Chemistry: Engaging Questions & Answers for Success

Trending doubts
Full Form of IASDMIPSIFSIRSPOLICE class 7 social science CBSE

The southernmost point of the Indian mainland is known class 7 social studies CBSE

Convert 200 Million dollars in rupees class 7 maths CBSE

How many crores make 10 million class 7 maths CBSE

One lakh eight thousand how can we write it in num class 7 maths CBSE

What is meant by Indian Standard Time Why do we need class 7 social science CBSE
