Class 10 Exam > Class 10 Questions > A two digit number is such that the product o...
Start Learning for Free
A two digit number is such that the product of its digit is 18. When 63 is subtracted from the number the digit interchange their places. Find the number.?
Most Upvoted Answer
A two digit number is such that the product of its digit is 18. When 6...
Community Answer
A two digit number is such that the product of its digit is 18. When 6...
Analysis:
The given conditions are:
1. The product of the digits is 18.
2. When 63 is subtracted from the number, the digits interchange their places.
Let the two-digit number be represented as 10a + b, where 'a' is the digit in the tens place and 'b' is the digit in the units place.
Step 1: Finding the possible pairs of digits:
Since the product of the digits is 18, we need to find all the possible pairs of digits that multiply to 18. These pairs are (1, 18), (2, 9), and (3, 6).
Step 2: Forming the equations:
Let's assume the number is 10a + b. From the given conditions, we can form the following equations:
1. a * b = 18
2. 10a + b - 63 = 10b + a
Step 3: Solving the equations:
From equation 1, we can find the possible pairs of digits that multiply to 18. The pairs are (a, b) = (2, 9) or (a, b) = (3, 6).
Substitute these pairs in equation 2 and solve for the two-digit number:
For (a, b) = (2, 9):
10(2) + 9 - 63 = 29
For (a, b) = (3, 6):
10(3) + 6 - 63 = 36
Answer:
Therefore, the two-digit number is 36.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
A two digit number is such that the product of its digit is 18. When 63 is subtracted from the number the digit interchange their places. Find the number.?
Question Description
A two digit number is such that the product of its digit is 18. When 63 is subtracted from the number the digit interchange their places. Find the number.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A two digit number is such that the product of its digit is 18. When 63 is subtracted from the number the digit interchange their places. Find the number.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A two digit number is such that the product of its digit is 18. When 63 is subtracted from the number the digit interchange their places. Find the number.?.
A two digit number is such that the product of its digit is 18. When 63 is subtracted from the number the digit interchange their places. Find the number.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A two digit number is such that the product of its digit is 18. When 63 is subtracted from the number the digit interchange their places. Find the number.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A two digit number is such that the product of its digit is 18. When 63 is subtracted from the number the digit interchange their places. Find the number.?.
Solutions for A two digit number is such that the product of its digit is 18. When 63 is subtracted from the number the digit interchange their places. Find the number.? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of A two digit number is such that the product of its digit is 18. When 63 is subtracted from the number the digit interchange their places. Find the number.? defined & explained in the simplest way possible. Besides giving the explanation of
A two digit number is such that the product of its digit is 18. When 63 is subtracted from the number the digit interchange their places. Find the number.?, a detailed solution for A two digit number is such that the product of its digit is 18. When 63 is subtracted from the number the digit interchange their places. Find the number.? has been provided alongside types of A two digit number is such that the product of its digit is 18. When 63 is subtracted from the number the digit interchange their places. Find the number.? theory, EduRev gives you an
ample number of questions to practice A two digit number is such that the product of its digit is 18. When 63 is subtracted from the number the digit interchange their places. Find the number.? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 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