Class 7 Exam > Class 7 Questions > A number consists of 2 digits. The sum of the...
Start Learning for Free
A number consists of 2 digits. The sum of the digits is 12. If 36 is subtracted from the number, the digits change their places. Find the number?
Most Upvoted Answer
A number consists of 2 digits. The sum of the digits is 12. If 36 is s...
Problem Analysis:
Let's assume the number to be "10a + b" where "a" and "b" are the digits of the number.
The problem states that the sum of the digits is 12, so we can write the equation as follows:
a + b = 12 ---(1)
It is also given that if 36 is subtracted from the number, the digits change their places. This means that the resulting number will be "10b + a". So, we can write another equation as follows:
10a + b - 36 = 10b + a ---(2)
Solving the Equations:
To solve the system of equations, we can substitute the value of "a" from equation (1) into equation (2) and solve for "b".
Substituting "a = 12 - b" into equation (2):
10(12 - b) + b - 36 = 10b + (12 - b)
120 - 10b + b - 36 = 10b + 12 - b
120 - 36 - 12 = 10b + b + b
72 = 12b
b = 6
Now, substituting the value of "b" into equation (1):
a + 6 = 12
a = 12 - 6
a = 6
Final Result:
Therefore, the number is "10a + b" = 10(6) + 6 = 60 + 6 = 66.
Let's assume the number to be "10a + b" where "a" and "b" are the digits of the number.
The problem states that the sum of the digits is 12, so we can write the equation as follows:
a + b = 12 ---(1)
It is also given that if 36 is subtracted from the number, the digits change their places. This means that the resulting number will be "10b + a". So, we can write another equation as follows:
10a + b - 36 = 10b + a ---(2)
Solving the Equations:
To solve the system of equations, we can substitute the value of "a" from equation (1) into equation (2) and solve for "b".
Substituting "a = 12 - b" into equation (2):
10(12 - b) + b - 36 = 10b + (12 - b)
120 - 10b + b - 36 = 10b + 12 - b
120 - 36 - 12 = 10b + b + b
72 = 12b
b = 6
Now, substituting the value of "b" into equation (1):
a + 6 = 12
a = 12 - 6
a = 6
Final Result:
Therefore, the number is "10a + b" = 10(6) + 6 = 60 + 6 = 66.
Community Answer
A number consists of 2 digits. The sum of the digits is 12. If 36 is s...
Yes 84 is the answer
Attention Class 7 Students!
To make sure you are not studying endlessly, EduRev has designed Class 7 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 7.
|
Explore Courses for Class 7 exam
|
|
Similar Class 7 Doubts
Top Courses for Class 7View all
A number consists of 2 digits. The sum of the digits is 12. If 36 is subtracted from the number, the digits change their places. Find the number?
Question Description
A number consists of 2 digits. The sum of the digits is 12. If 36 is subtracted from the number, the digits change their places. Find the number? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A number consists of 2 digits. The sum of the digits is 12. If 36 is subtracted from the number, the digits change their places. Find the number? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number consists of 2 digits. The sum of the digits is 12. If 36 is subtracted from the number, the digits change their places. Find the number?.
A number consists of 2 digits. The sum of the digits is 12. If 36 is subtracted from the number, the digits change their places. Find the number? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A number consists of 2 digits. The sum of the digits is 12. If 36 is subtracted from the number, the digits change their places. Find the number? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number consists of 2 digits. The sum of the digits is 12. If 36 is subtracted from the number, the digits change their places. Find the number?.
Solutions for A number consists of 2 digits. The sum of the digits is 12. If 36 is subtracted from the number, the digits change their places. Find the number? in English & in Hindi are available as part of our courses for Class 7.
Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of A number consists of 2 digits. The sum of the digits is 12. If 36 is subtracted from the number, the digits change their places. Find the number? defined & explained in the simplest way possible. Besides giving the explanation of
A number consists of 2 digits. The sum of the digits is 12. If 36 is subtracted from the number, the digits change their places. Find the number?, a detailed solution for A number consists of 2 digits. The sum of the digits is 12. If 36 is subtracted from the number, the digits change their places. Find the number? has been provided alongside types of A number consists of 2 digits. The sum of the digits is 12. If 36 is subtracted from the number, the digits change their places. Find the number? theory, EduRev gives you an
ample number of questions to practice A number consists of 2 digits. The sum of the digits is 12. If 36 is subtracted from the number, the digits change their places. Find the number? tests, examples and also practice Class 7 tests.
|
|
Explore Courses for Class 7 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