Class 8 Exam > Class 8 Questions > The sum of the digit of a two digit number is...
Start Learning for Free
The sum of the digit of a two digit number is 10 the number obtained by interchanging the digit exceeds the original number by 36 find the original number?
Most Upvoted Answer
The sum of the digit of a two digit number is 10 the number obtained b...
Problem Statement:
The sum of the digits of a two-digit number is 10. The number obtained by interchanging the digits exceeds the original number by 36. Find the original number.
Solution:
Let's assume the two-digit number to be 10x + y, where x represents the tens digit and y represents the units digit.
First Condition: The sum of the digits of the number is 10.
According to the problem statement, we have the equation:
x + y = 10
Second Condition: The number obtained by interchanging the digits exceeds the original number by 36.
The number obtained by interchanging the digits is 10y + x.
According to the problem statement, we have the equation:
10y + x = 10x + y + 36
Solving the Equations:
We can solve the system of equations by substituting the value of x from the first equation into the second equation.
Substituting x = 10 - y into the second equation, we get:
10y + (10 - y) = 10(10 - y) + y + 36
10y + 10 - y = 100 - 10y + y + 36
9y + 10 = 100 - 9y + 36
18y + 10 = 136 - 9y
27y = 126
y = 126 / 27
y = 6
Substituting y = 6 into the first equation, we get:
x + 6 = 10
x = 10 - 6
x = 4
Therefore, the original number is 10x + y = 10(4) + 6 = 40 + 6 = 46.
Answer:
The original number is 46.
The sum of the digits of a two-digit number is 10. The number obtained by interchanging the digits exceeds the original number by 36. Find the original number.
Solution:
Let's assume the two-digit number to be 10x + y, where x represents the tens digit and y represents the units digit.
First Condition: The sum of the digits of the number is 10.
According to the problem statement, we have the equation:
x + y = 10
Second Condition: The number obtained by interchanging the digits exceeds the original number by 36.
The number obtained by interchanging the digits is 10y + x.
According to the problem statement, we have the equation:
10y + x = 10x + y + 36
Solving the Equations:
We can solve the system of equations by substituting the value of x from the first equation into the second equation.
Substituting x = 10 - y into the second equation, we get:
10y + (10 - y) = 10(10 - y) + y + 36
10y + 10 - y = 100 - 10y + y + 36
9y + 10 = 100 - 9y + 36
18y + 10 = 136 - 9y
27y = 126
y = 126 / 27
y = 6
Substituting y = 6 into the first equation, we get:
x + 6 = 10
x = 10 - 6
x = 4
Therefore, the original number is 10x + y = 10(4) + 6 = 40 + 6 = 46.
Answer:
The original number is 46.
Community Answer
The sum of the digit of a two digit number is 10 the number obtained b...
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
|
Explore Courses for Class 8 exam
|
|
Similar Class 8 Doubts
Top Courses for Class 8View all
The sum of the digit of a two digit number is 10 the number obtained by interchanging the digit exceeds the original number by 36 find the original number?
Question Description
The sum of the digit of a two digit number is 10 the number obtained by interchanging the digit exceeds the original number by 36 find the original number? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The sum of the digit of a two digit number is 10 the number obtained by interchanging the digit exceeds the original number by 36 find the original number? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the digit of a two digit number is 10 the number obtained by interchanging the digit exceeds the original number by 36 find the original number?.
The sum of the digit of a two digit number is 10 the number obtained by interchanging the digit exceeds the original number by 36 find the original number? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The sum of the digit of a two digit number is 10 the number obtained by interchanging the digit exceeds the original number by 36 find the original number? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the digit of a two digit number is 10 the number obtained by interchanging the digit exceeds the original number by 36 find the original number?.
Solutions for The sum of the digit of a two digit number is 10 the number obtained by interchanging the digit exceeds the original number by 36 find the original number? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of The sum of the digit of a two digit number is 10 the number obtained by interchanging the digit exceeds the original number by 36 find the original number? defined & explained in the simplest way possible. Besides giving the explanation of
The sum of the digit of a two digit number is 10 the number obtained by interchanging the digit exceeds the original number by 36 find the original number?, a detailed solution for The sum of the digit of a two digit number is 10 the number obtained by interchanging the digit exceeds the original number by 36 find the original number? has been provided alongside types of The sum of the digit of a two digit number is 10 the number obtained by interchanging the digit exceeds the original number by 36 find the original number? theory, EduRev gives you an
ample number of questions to practice The sum of the digit of a two digit number is 10 the number obtained by interchanging the digit exceeds the original number by 36 find the original number? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup