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The ones digit of a 2 digit number is twice the teens digit. When the number formed by reversing the digits is added to the original number, the sum is 99.find the original number.?
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The ones digit of a 2 digit number is twice the teens digit. When the ...
Let, the tens digit =x
so, ones digit =2x
.•. number= 10x+2x=12x
reverse number= 10 x 2x+x=20x+x=21x
it is given that,
12x+21x=99
or 33x=99
so, x=3
original number=10x+2x
=30+6
=36 answer.
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Most Upvoted Answer
The ones digit of a 2 digit number is twice the teens digit. When the ...
Problem Analysis:
Let's assume the original number to be xy, where x is the tens digit and y is the ones digit. According to the problem, the ones digit (y) is twice the teens digit (x).
So, we can write the equation as:
y = 2x
When the number formed by reversing the digits is added to the original number, the sum is 99. So, we can write another equation as:
10x + y + 10y + x = 99
Simplifying the equation:
11x + 11y = 99
Dividing both sides by 11:
x + y = 9
Solution:
Let's solve the two equations to find the values of x and y.
Substituting the value of y from the first equation into the second equation:
x + 2x = 9
3x = 9
x = 3
Now, substituting the value of x into the first equation:
y = 2 * 3
y = 6
So, the original number is 36.
Explanation:
To solve the problem, we considered the original number as xy, where x is the tens digit and y is the ones digit. We then created an equation based on the given condition that the ones digit is twice the teens digit.
Next, we formed another equation by adding the original number and the number formed by reversing the digits. Simplifying the equation, we obtained x + y = 9.
By solving the two equations simultaneously, we found that x = 3 and y = 6, which gives us the original number as 36.
Thus, the original number is 36, satisfying all the given conditions.
Let's assume the original number to be xy, where x is the tens digit and y is the ones digit. According to the problem, the ones digit (y) is twice the teens digit (x).
So, we can write the equation as:
y = 2x
When the number formed by reversing the digits is added to the original number, the sum is 99. So, we can write another equation as:
10x + y + 10y + x = 99
Simplifying the equation:
11x + 11y = 99
Dividing both sides by 11:
x + y = 9
Solution:
Let's solve the two equations to find the values of x and y.
Substituting the value of y from the first equation into the second equation:
x + 2x = 9
3x = 9
x = 3
Now, substituting the value of x into the first equation:
y = 2 * 3
y = 6
So, the original number is 36.
Explanation:
To solve the problem, we considered the original number as xy, where x is the tens digit and y is the ones digit. We then created an equation based on the given condition that the ones digit is twice the teens digit.
Next, we formed another equation by adding the original number and the number formed by reversing the digits. Simplifying the equation, we obtained x + y = 9.
By solving the two equations simultaneously, we found that x = 3 and y = 6, which gives us the original number as 36.
Thus, the original number is 36, satisfying all the given conditions.
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The ones digit of a 2 digit number is twice the teens digit. When the number formed by reversing the digits is added to the original number, the sum is 99.find the original number.?
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The ones digit of a 2 digit number is twice the teens digit. When the number formed by reversing the digits is added to the original number, the sum is 99.find the original 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 ones digit of a 2 digit number is twice the teens digit. When the number formed by reversing the digits is added to the original number, the sum is 99.find the original number.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ones digit of a 2 digit number is twice the teens digit. When the number formed by reversing the digits is added to the original number, the sum is 99.find the original number.?.
The ones digit of a 2 digit number is twice the teens digit. When the number formed by reversing the digits is added to the original number, the sum is 99.find the original 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 ones digit of a 2 digit number is twice the teens digit. When the number formed by reversing the digits is added to the original number, the sum is 99.find the original number.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ones digit of a 2 digit number is twice the teens digit. When the number formed by reversing the digits is added to the original number, the sum is 99.find the original number.?.
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