Kinh Nghiệm Hướng dẫn The sum of a two digit number and the number obtained by reversing the digits is a square number Mới Nhất
Hà Huy Tùng Nguyên đang tìm kiếm từ khóa The sum of a two digit number and the number obtained by reversing the digits is a square number được Cập Nhật vào lúc : 2022-10-15 00:50:29 . Với phương châm chia sẻ Thủ Thuật Hướng dẫn trong nội dung bài viết một cách Chi Tiết 2022. Nếu sau khi tham khảo Post vẫn ko hiểu thì hoàn toàn có thể lại phản hồi ở cuối bài để Tác giả lý giải và hướng dẫn lại nha.Solution:
Nội dung chính- The sum of a two-digit number and the number obtained by reversing the digits is always divisible by __________. Fill in the blank to make the statement true. Sponsored Links Challenger of the Day Maths Quotes
Placed User Comments The correct option is A 53, 35Let the ten’s and the unit’s digits in the
first number be x and y, respectively.So, the first number =10x+yAfter the digits have been reversed, the second number will be
=x+10y(10x+y)+(10y+x)=88
11x+11y=88
11(x+y)=88
x+y=8 ……….(1)Also given, the difference between the two digits is equal to 2. Therefore,x–y=2 ………..(2)After elimination,2x=10
x=5
2y=6
y=3 The number is 53. The number reversed gives 35.What is the number by which the sum of any two digit number and its reverse is always divisible?What is the reverse of a two digit number?When you add two numbers and the number obtained by reversing the order of its digits is 165 if the both?When a certain 2 digit number is divided by the number obtained by reversing?
Let the two digit number be xy. The reverse is yx. If we write both the numbers in generalised form we have:
xy = 10x + y — (1)
yx = 10y + x — (2)
Adding (1) and (2) we get
xy + yx = 11x + 11y = 11(x + y)
Therefore we can state that the sum of a two digit number and its reverse is always divisible by 11.
✦ Try This: The sum of a three-digit numbers formed by the digits x, y and z is always divisible by __________.
Let the three digit number be xyz. The reverse is zyx. If we write both the numbers in generalised form we have:
xyz = 100x + 10y + z ----- (1)
zxy = 100z + 10x +y ----- (2)
yzx = 100y + 10z + x ----- (3)
Adding (1) (2) and (3) we get
111x + 111y + 111z
111(x + y + z)
Therefore we can state that the sum of a three digit numbers made from digits x, y and z is always divisible by 111.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 16
NCERT Exemplar Class 8 Maths Chapter 13 Problem 21
The sum of a two-digit number and the number obtained by reversing the digits is always divisible by __________. Fill in the blank to make the statement true.
Summary:
The sum of a two digit number xy and its reverse yx is always divisible by 11.
☛ Related Questions:
- The difference of a two-digit number and the number obtained by reversing its digits is always divis . . . . The difference of three-digit number and the number obtained by putting the digits in reverse order . . . . If 2 B + A B = 8
A, then A = ______ and B = ______. Fill in the blank to make the statement true
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Solution
The correct option is A 53, 35Let the ten’s and the unit’s digits in the first number be x and y, respectively.So, the first number =10x+yAfter the digits have been reversed, the second number will be =x+10y(10x+y)+(10y+x)=88 11x+11y=88 11(x+y)=88 x+y=8 ……….(1)Also given, the difference between the two digits is equal to 2. Therefore,x–y=2 ………..(2)After elimination,2x=10 x=5 2y=6 y=3 The number is 53. The number reversed gives 35.
What is the number by which the sum of any two digit number and its reverse is always divisible?
Hence the sum of a two digit number and the number obtained by reversing the digit is always divisible by 11.What is the reverse of a two digit number?
There are two standard logics concerning two-digit numbers and their reverse. The general form of the two-digit number '(ab)' is ((10 times a) + b). We know that to reverse a number, we should swap the numbers in TENS and ONES position. Therefore, the general form of its reverse '(ba)' is ((10 times b) + a).When you add two numbers and the number obtained by reversing the order of its digits is 165 if the both?
Answer: The number whose sum with the number obtained by reversing the order of the digits is 165 and the difference between the digits is 3 is 96.When a certain 2 digit number is divided by the number obtained by reversing?
When a certain 2 digit number is divided by the number obtained by reversing the digits, the quotient is 2 and the remainder is 7. If the number is divided by the sum of its digits the quotient is 7 and the remainder is 6. Tải thêm tài liệu liên quan đến nội dung bài viết The sum of a two digit number and the number obtained by reversing the digits is a square number