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A two digit number is obtained by both multiplying sum of digit by 8 and adding 1 or by multiplying the difference of the digits by 13 and adding 2. the number is?
Most Upvoted Answer
A two digit number is obtained by both multiplying sum of digit by 8 a...
Let tens digit =x
& once digit = y
.... xy
.. 10x + y
ATQ..
10x+y = 8(x+y)+1
10x +y= 8x +8y +1
2x -7y -1=0 ••••••••••••••••(i)
10x+y = 13(x-y)+2
10x+y = 13x -13y +2
3x -14y +2= 0 •••••••••••••••••••(ii)
solve kr lo aa gayega..
& once digit = y
.... xy
.. 10x + y
ATQ..
10x+y = 8(x+y)+1
10x +y= 8x +8y +1
2x -7y -1=0 ••••••••••••••••(i)
10x+y = 13(x-y)+2
10x+y = 13x -13y +2
3x -14y +2= 0 •••••••••••••••••••(ii)
solve kr lo aa gayega..
Community Answer
A two digit number is obtained by both multiplying sum of digit by 8 a...
Explanation:
Given Information:
- The two-digit number is obtained by both:
- Multiplying the sum of the digits by 8 and adding 1
- Multiplying the difference of the digits by 13 and adding 2
Let the two-digit number be represented by ab, where 'a' is the tens digit and 'b' is the units digit.
Equations:
1. 8(a + b) + 1 = 10a + b (Multiplying sum of digits by 8 and adding 1)
2. 13(a - b) + 2 = 10a + b (Multiplying difference of digits by 13 and adding 2)
Solving the Equations:
1. Expanding equation 1:
8a + 8b + 1 = 10a + b
8b - b = 10a - 8a - 1
7b = 2a - 1
b = (2a - 1) / 7
2. Substituting b from equation 1 into equation 2:
13(a - ((2a - 1) / 7)) + 2 = 10a + ((2a - 1) / 7)
Simplifying the equation, we get:
a = 4, b = 7
The two-digit number is 47.
Conclusion:
Therefore, the two-digit number that satisfies the given conditions is 47.
Given Information:
- The two-digit number is obtained by both:
- Multiplying the sum of the digits by 8 and adding 1
- Multiplying the difference of the digits by 13 and adding 2
Let the two-digit number be represented by ab, where 'a' is the tens digit and 'b' is the units digit.
Equations:
1. 8(a + b) + 1 = 10a + b (Multiplying sum of digits by 8 and adding 1)
2. 13(a - b) + 2 = 10a + b (Multiplying difference of digits by 13 and adding 2)
Solving the Equations:
1. Expanding equation 1:
8a + 8b + 1 = 10a + b
8b - b = 10a - 8a - 1
7b = 2a - 1
b = (2a - 1) / 7
2. Substituting b from equation 1 into equation 2:
13(a - ((2a - 1) / 7)) + 2 = 10a + ((2a - 1) / 7)
Simplifying the equation, we get:
a = 4, b = 7
The two-digit number is 47.
Conclusion:
Therefore, the two-digit number that satisfies the given conditions is 47.
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A two digit number is obtained by both multiplying sum of digit by 8 and adding 1 or by multiplying the difference of the digits by 13 and adding 2. the number is?
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A two digit number is obtained by both multiplying sum of digit by 8 and adding 1 or by multiplying the difference of the digits by 13 and adding 2. the number is? 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 obtained by both multiplying sum of digit by 8 and adding 1 or by multiplying the difference of the digits by 13 and adding 2. the number is? 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 obtained by both multiplying sum of digit by 8 and adding 1 or by multiplying the difference of the digits by 13 and adding 2. the number is?.
A two digit number is obtained by both multiplying sum of digit by 8 and adding 1 or by multiplying the difference of the digits by 13 and adding 2. the number is? 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 obtained by both multiplying sum of digit by 8 and adding 1 or by multiplying the difference of the digits by 13 and adding 2. the number is? 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 obtained by both multiplying sum of digit by 8 and adding 1 or by multiplying the difference of the digits by 13 and adding 2. the number is?.
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