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A number consists of two digits in which the ten's digit exceeds the unit's digit by 6. The number itself is equal to ten times the sum of digits. Find the number?
Verified Answer
A number consists of two digits in which the ten's digit exceeds the u...
Let the number is 10y+x where x is the unit digit and y is the ten's digit. Then by the given question,
y=x+6 ----(1) and
10y+x=10(x+y)
or, 10y+x=10x+10y
or, x-10x=0
or, x=0
∴, y=0+6
or, y=6
∴, the given number is
10*6+0=60
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Most Upvoted Answer
A number consists of two digits in which the ten's digit exceeds the u...
Solution:
Given conditions:
- The ten's digit exceeds the unit's digit by 6.
- The number is equal to ten times the sum of digits.
Let's assume the ten's digit as x and the unit's digit as y.
Mathematical representation:
- The number can be represented as 10x + y.
- According to the given conditions, we have x = y + 6.
Substitute x = y + 6 into the number representation equation:
10(y + 6) + y = 10(y + 6) + y
Solving the equation:
10y + 60 + y = 10y + 60 + y
11y = 11y
y = 0
Therefore, the unit's digit (y) is 0.
Substitute y = 0 into x = y + 6:
x = 0 + 6
x = 6
So, the ten's digit (x) is 6.
Calculating the number:
Number = 10x + y
Number = 10(6) + 0
Number = 60
Therefore, the number is 60.
Given conditions:
- The ten's digit exceeds the unit's digit by 6.
- The number is equal to ten times the sum of digits.
Let's assume the ten's digit as x and the unit's digit as y.
Mathematical representation:
- The number can be represented as 10x + y.
- According to the given conditions, we have x = y + 6.
Substitute x = y + 6 into the number representation equation:
10(y + 6) + y = 10(y + 6) + y
Solving the equation:
10y + 60 + y = 10y + 60 + y
11y = 11y
y = 0
Therefore, the unit's digit (y) is 0.
Substitute y = 0 into x = y + 6:
x = 0 + 6
x = 6
So, the ten's digit (x) is 6.
Calculating the number:
Number = 10x + y
Number = 10(6) + 0
Number = 60
Therefore, the number is 60.
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A number consists of two digits in which the ten's digit exceeds the unit's digit by 6. The number itself is equal to ten times the sum of digits. Find the number?
Question Description
A number consists of two digits in which the ten's digit exceeds the unit's digit by 6. The number itself is equal to ten times the sum of digits. 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 number consists of two digits in which the ten's digit exceeds the unit's digit by 6. The number itself is equal to ten times the sum of digits. Find the number? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number consists of two digits in which the ten's digit exceeds the unit's digit by 6. The number itself is equal to ten times the sum of digits. Find the number?.
A number consists of two digits in which the ten's digit exceeds the unit's digit by 6. The number itself is equal to ten times the sum of digits. 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 number consists of two digits in which the ten's digit exceeds the unit's digit by 6. The number itself is equal to ten times the sum of digits. Find the number? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number consists of two digits in which the ten's digit exceeds the unit's digit by 6. The number itself is equal to ten times the sum of digits. Find the number?.
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