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