Class 8 Exam  >  Class 8 Questions  >  A no. Consists of two digits whose sum is 7. ... Start Learning for Free
A no. Consists of two digits whose sum is 7. If 45 is added to the no. The digits are reversed find the number?
Most Upvoted Answer
A no. Consists of two digits whose sum is 7. If 45 is added to the no....
Problem Statement


A no. consists of two digits whose sum is 7. If 45 is added to the no. The digits are reversed find the number?


Solution


Let's assume that the two digits in the number are x and y.


Step 1: Forming the Equation


According to the problem statement, the sum of the digits is 7. Hence, we can form the equation:


x + y = 7 ... equation (1)


After adding 45 to the number, the digits are reversed. Hence, the new number can be formed as:


10y + x + 45


This number is also equal to:


10x + y


Forming an equation:


10y + x + 45 = 10x + y


9y - 9x = 45 - 45


9(y - x) = 0


y - x = 0 ... equation (2)


Step 2: Solving the Equations


We have two equations:


x + y = 7 ... equation (1)


y - x = 0 ... equation (2)


From equation (2), we get:


y = x


Substituting this value of y in equation (1), we get:


x + x = 7


2x = 7


x = 3.5


As x is not a whole number, this is not possible.


Step 3: Conclusion


Therefore, there is no number that satisfies the given conditions.
Community Answer
A no. Consists of two digits whose sum is 7. If 45 is added to the no....
Answer will be 16

let one no. be 10x+7-×
=9x+7
other after reversing will be 10 (7-x)+x
70-10x+x=70-9x
given,
9x+7+45=70-9x
9x+9x=70-52
18x=18
x=1
so no will be 9x + 7=9×1+7

9+7=16

MARK AS BRAINLIEST IF YOU UPVOTE
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

Top Courses for Class 8

A no. Consists of two digits whose sum is 7. If 45 is added to the no. The digits are reversed find the number?
Question Description
A no. Consists of two digits whose sum is 7. If 45 is added to the no. The digits are reversed find the 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 A no. Consists of two digits whose sum is 7. If 45 is added to the no. The digits are reversed find the number? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A no. Consists of two digits whose sum is 7. If 45 is added to the no. The digits are reversed find the number?.
Solutions for A no. Consists of two digits whose sum is 7. If 45 is added to the no. The digits are reversed find the 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 A no. Consists of two digits whose sum is 7. If 45 is added to the no. The digits are reversed find the number? defined & explained in the simplest way possible. Besides giving the explanation of A no. Consists of two digits whose sum is 7. If 45 is added to the no. The digits are reversed find the number?, a detailed solution for A no. Consists of two digits whose sum is 7. If 45 is added to the no. The digits are reversed find the number? has been provided alongside types of A no. Consists of two digits whose sum is 7. If 45 is added to the no. The digits are reversed find the number? theory, EduRev gives you an ample number of questions to practice A no. Consists of two digits whose sum is 7. If 45 is added to the no. The digits are reversed find the number? tests, examples and also practice Class 8 tests.
Explore Courses for Class 8 exam

Top Courses for Class 8

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev