Find all natural numbers having two digit , knowing that twice the units digit 1 more than the ten digit , and if we write that two digits in reverse order, we get a new number which is 27 less than the old one
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Exer 1: Given two natural numbers whose sum are 78293. The bigger number where 5 is the units digit and 2 is hundred digit. If we clean these digits then we obtain a number which equals the smaller number. Find two natural numbers.
Exer 2: Prove that: If x, y in N and x + 2y divisible by 5 then 3x - 4y divisibles by 5.
Exer 3: Given that 2x + 5y ⋮ 7. Prove that 4x + 3y ⋮ 7.
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Exer 1: Given two natural numbers whose sum are 78293. The bigger number where 5 is the units digit and 2 is hundred digit. If we clean these digits then we obtain a number which equals the smaller number. Find two natural numbers.
Exer 2: Prove that: If x, y \(\in\) N and x + 2y divisible by 5 then 3x - 4y divisibles by 5.
Exer 3: Given that 2x + 5y \(⋮\) 7. Prove that 4x + 3y \(⋮\) 7.
Exer 1:
Solution:
Suppose that, the unknown number is: \(\overline{x215}\) (where x \(\in\) N).
When we clean three digits then the smaller number is \(\overline{x}\).
We have: \(\overline{x215}\) + \(\overline{x}\) = 78293
\(\Rightarrow\) 1000. \(\overline{x}\) + 215 + \(\overline{x}\) = 78293
1001. \(\overline{x}\) = 78078
x = 78
Thus, we found two natural number: 78215 and 78.
Exer 2:
Solution:
We have: x + 2y \(⋮\) 5
\(\Rightarrow\) 2x + 4y \(⋮\) 5
(2x + 4y) + (3x - 4y) = 5x \(⋮\) 5
\(\Rightarrow\) 2x + 4y \(⋮\) 5
Deduce 3x - 4y \(⋮\) 5.
Exer 3:
Solution:
We have: 2x + 5y \(⋮\) 7
4x + 10y \(⋮\) 7
(4x + 10y) - (4x + 3y) = 7y \(⋮\) 7
\(\Rightarrow\) 4x + 10y \(⋮\) 7
Deduce 4x + 3y \(⋮\) 7.
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I have a secret 5-digit even number. The thousands digit is 8 more than the units digit. From left to right, the first 3 digits are 3 consecutive whole numbers in increasing order. The tens digit is 3 less than the ten thousands digit. What is my secret number?
Question 1:The least common multiple of 330; 65; 15 is Question 2:Given seven numbers: 25; 17; 39; 43; 239; 1021; 1023.The composite numbers are (Write numbers in order from the least to the greatest and use ;)Question 3:The common factors of 18 and 27 are (Write numbers in order from the least to the greatest and use ;)Question 4:Given the set of even numbers: {2; 4; 6; …; 100}.The number of elements is Question 5:Find four integer numbers a,b,c,d such thata + b + c + d 1a + c + d 2a + b + d...
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Question 1:
The least common multiple of 330; 65; 15 is
Question 2:
Given seven numbers: 25; 17; 39; 43; 239; 1021; 1023.
The composite numbers are
(Write numbers in order from the least to the greatest and use ";")
Question 3:
The common factors of 18 and 27 are
(Write numbers in order from the least to the greatest and use ";")
Question 4:
Given the set of even numbers: {2; 4; 6; …; 100}.The number of elements is
Question 5:
Find four integer numbers a,b,c,d such that
a + b + c + d = 1
a + c + d = 2
a + b + d = 3
a + b + c = 4
Answer: (a;b;c;d)=()
Question 6:
Find a four-digit natural number that is less than 2015.If the thousands digit is erased,the number will be decreased by 9 times.
Answer:The number is
Question 7:
Calculate: 1×2+2×3+⋯+100×101=
Question 8:
The term of the expression A=1-7+13-19+25-31+⋯ is
Question 9:
Given the expression A= ...
Find the value of n such that 2A+3=
Answer: n=
Question 10:
A natural number has six digits and the units digit is 4.If the units digit is moved to the first row then the number will be increasedby 4 times.The number is
How many natural numbers having three digits such that the tens digit squared equals the product of other digits and the difference between that number and its reversed order is 495?
Answer: There are numbers.
Mk dịch ra cho các bạn hiểu nè, chứ mình không biết làm, hì hì
Có bao nhiêu số tự nhiên có ba chữ số mà chữ số hàng chục bình phương bằng tổng của các chữ số khác và sự khác biệt giữa số lượng và thứ tự đảo ngược của nó là 495?
Trả lời: Có....số
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A 6 digit number begins with the digit 8. The number is divisible by 9 and all digit of the number are different . What is the possible smallest value of this number ?MNPQ is the square that is made up of to identical rectangles and two square of area 9cm2 and 16cm2. The area of the square MNPQ is ?I have two digit in the decimal part.Iam greater than 75 but less than 80 . What least possible number am I ?
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Một số gồm 6 chữ số bắt đầu bằng chữ số 8. Số này chia hết cho 9 và tất cả các chữ số của số này đều khác nhau. Giá trị nhỏ nhất có thể có của số này là gì? MNPQ là hình vuông được tạo thành từ các hình chữ nhật giống hệt nhau và hai hình vuông có diện tích 9cm2 và 16cm2. Diện tích của hình vuông MNPQ là? Tôi có hai chữ số trong phần thập phân. Tôi lớn hơn 75 nhưng nhỏ hơn 80. Tôi ít nhất có thể là số nào?
how many 3 digit numbers that are multiples of 6 in which the sum of hundreds digit and units and units digit is twice tens digit ?
How many natural numbers having three digits such that the tens digit squared equals the
product of other digits and the difference between that number and its reversed order is 495?
Answer: There are numbers.
How many natural numbers having three digits such thatthe tens digit squared equals the product of other digits and the differencebetween that number and its reversed order is 495?
How many natural numbers having three digits such thatthe tens digit squared equals the product of other digits and the differencebetween that number and its reversed order is 495?
Answer: There are numbers.
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