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11. The sum of the digits of a two digit number is 12. The number obtained by interchanging the two digits exceeds the given number by 18. Find the number.?
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11. The sum of the digits of a two digit number is 12. The number obta...
Problem Statement: The sum of the digits of a two digit number is 12. The number obtained by interchanging the two digits exceeds the given number by 18. Find the number.
Solution:
Let the tens digit of the given number be x and the units digit be y.
According to the problem statement,
x + y = 12 (Equation 1)
The number obtained by interchanging the two digits is given by 10y + x. This number exceeds the given number (10x + y) by 18. Therefore,
10y + x = 10x + y + 18
Simplifying this equation, we get
9y - 9x = 18
y - x = 2 (Equation 2)
Now we need to solve Equations 1 and 2 simultaneously to find the values of x and y.
Adding Equations 1 and 2, we get
2y = 14
y = 7
Substituting this value of y in Equation 1, we get
x + 7 = 12
x = 5
Therefore, the required two digit number is 57.
Answer: The required number is 57.
Solution:
Let the tens digit of the given number be x and the units digit be y.
According to the problem statement,
x + y = 12 (Equation 1)
The number obtained by interchanging the two digits is given by 10y + x. This number exceeds the given number (10x + y) by 18. Therefore,
10y + x = 10x + y + 18
Simplifying this equation, we get
9y - 9x = 18
y - x = 2 (Equation 2)
Now we need to solve Equations 1 and 2 simultaneously to find the values of x and y.
Adding Equations 1 and 2, we get
2y = 14
y = 7
Substituting this value of y in Equation 1, we get
x + 7 = 12
x = 5
Therefore, the required two digit number is 57.
Answer: The required number is 57.
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11. The sum of the digits of a two digit number is 12. The number obta...
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11. The sum of the digits of a two digit number is 12. The number obtained by interchanging the two digits exceeds the given number by 18. Find the number.?
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11. The sum of the digits of a two digit number is 12. The number obtained by interchanging the two digits exceeds the given number by 18. Find the number.? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about 11. The sum of the digits of a two digit number is 12. The number obtained by interchanging the two digits exceeds the given number by 18. Find the number.? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 11. The sum of the digits of a two digit number is 12. The number obtained by interchanging the two digits exceeds the given number by 18. Find the number.?.
11. The sum of the digits of a two digit number is 12. The number obtained by interchanging the two digits exceeds the given number by 18. Find the number.? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about 11. The sum of the digits of a two digit number is 12. The number obtained by interchanging the two digits exceeds the given number by 18. Find the number.? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 11. The sum of the digits of a two digit number is 12. The number obtained by interchanging the two digits exceeds the given number by 18. Find the number.?.
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