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The digit at the tense place of a two digit number is three times the digit at once place if the sum of the number and the number form by reversing it's digit is 88 . Find the number.?
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The digit at the tense place of a two digit number is three times the ...
**Problem Analysis**
Let's assume the tens digit of the number is x and the ones digit is y.
According to the given condition, the digit at the tens place is three times the digit at the ones place. So we have the equation:
x = 3y
The number can be written as 10x + y and the number formed by reversing its digits can be written as 10y + x.
According to the given condition, the sum of the number and the number formed by reversing its digits is 88. So we have the equation:
(10x + y) + (10y + x) = 88
Simplifying this equation, we get:
11x + 11y = 88
Dividing both sides of the equation by 11, we get:
x + y = 8
Now we have two equations:
x = 3y
x + y = 8
We can solve these equations simultaneously to find the values of x and y, and hence the two-digit number.
**Solving the Equations**
Let's substitute the value of x from the first equation into the second equation:
3y + y = 8
Combining like terms, we get:
4y = 8
Dividing both sides of the equation by 4, we get:
y = 2
Substituting this value of y back into the first equation, we can find the value of x:
x = 3(2)
x = 6
So the tens digit is 6 and the ones digit is 2.
Therefore, the two-digit number is 62.
Hence, the number is 62.
Let's assume the tens digit of the number is x and the ones digit is y.
According to the given condition, the digit at the tens place is three times the digit at the ones place. So we have the equation:
x = 3y
The number can be written as 10x + y and the number formed by reversing its digits can be written as 10y + x.
According to the given condition, the sum of the number and the number formed by reversing its digits is 88. So we have the equation:
(10x + y) + (10y + x) = 88
Simplifying this equation, we get:
11x + 11y = 88
Dividing both sides of the equation by 11, we get:
x + y = 8
Now we have two equations:
x = 3y
x + y = 8
We can solve these equations simultaneously to find the values of x and y, and hence the two-digit number.
**Solving the Equations**
Let's substitute the value of x from the first equation into the second equation:
3y + y = 8
Combining like terms, we get:
4y = 8
Dividing both sides of the equation by 4, we get:
y = 2
Substituting this value of y back into the first equation, we can find the value of x:
x = 3(2)
x = 6
So the tens digit is 6 and the ones digit is 2.
Therefore, the two-digit number is 62.
Hence, the number is 62.
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The digit at the tense place of a two digit number is three times the ...
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The digit at the tense place of a two digit number is three times the digit at once place if the sum of the number and the number form by reversing it's digit is 88 . Find the number.?
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The digit at the tense place of a two digit number is three times the digit at once place if the sum of the number and the number form by reversing it's digit is 88 . 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 The digit at the tense place of a two digit number is three times the digit at once place if the sum of the number and the number form by reversing it's digit is 88 . Find the number.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The digit at the tense place of a two digit number is three times the digit at once place if the sum of the number and the number form by reversing it's digit is 88 . Find the number.?.
The digit at the tense place of a two digit number is three times the digit at once place if the sum of the number and the number form by reversing it's digit is 88 . 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 The digit at the tense place of a two digit number is three times the digit at once place if the sum of the number and the number form by reversing it's digit is 88 . Find the number.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The digit at the tense place of a two digit number is three times the digit at once place if the sum of the number and the number form by reversing it's digit is 88 . Find the number.?.
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