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What is the largest number,which when divided by 13 has quotinent equal to remainder?
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What is the largest number, which when divided to 11 has a quoitient is equal to the số dư
Call the dividend is \(a\), the remainder is \(b\left(b\le10;b\in N\right)\)
So the quotient is \(b\)
Have: \(a=11\times b+b=12\times b\)
So \(a_{max}\Leftrightarrow12\times b_{max}\Leftrightarrow b_{max}\Leftrightarrow b=10\)
\(\Leftrightarrow a=12\times10=120\)
So the largest number is 120
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What is the largest wich when divied by 13 has quotient equal to remainder?
It is 12,
Here we have the formula
Let a be an integer then there exists an integer b such that
a=13×b+r where r is an integer such that |r|< 13. When r=0 then 13 divides a. Clear from above that highest value of r is 12.
Yes r is called the remainder
what is the largest 3 - digit number so that it has a remainder of 2
when is being divided by 4 and it has a remainder of 4
A 3 - digit number when divided by 57, the remainder is 27, when divided by 217 the remainder is 60. Find the number.
Call a is the 3-digit number which divied by 57, the remainder is 27, divided by 217, the remainder is 60.
\(\Rightarrow\)a-27\(⋮\)57
\(\Rightarrow\)a-60\(⋮\)217
Because 684 is a multiple of 57 so:
\(\Rightarrow\)a-27-684\(⋮\)57\(\Rightarrow\)a-771\(⋮\)57
Because 651 is a multiple of 217 so:
\(\Rightarrow\)a-60-651\(⋮\)217\(\Rightarrow\)a-771\(⋮\)217
\(\Rightarrow\)a-771 \(\in\)CM(217;57)
\(\Rightarrow\)a-771\(\in\){0;12369;...}
\(\Rightarrow\)a\(\in\){771;13140;...}
Because a is a 3-digit number so a = 771.
The number is 771.
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If p is a prime number larger than 5, find the remainder when (p^2 + 5p + 5)^2 is divided by 120 (Violympic Toán tiếng Anh)
cho mk đáp án thoy ak
cho mình hỏi bài này với: P is a natural number that is written by 2016 digit 4. The remainder when P is divided by 15 is...
how many 3- digit numbers have a remainder of 7,2 and 3 when divided by 9,5,4 respectively?list all such number
Toán tiếng anh nhé mn?mik cần gấp lắm
1.The sum of two natural numbers is equal to their difference multiplied by 3.Find their quotient
2.Let a be a natural number.Suppose that a gives a remainder of 38 when divided by 54; a gives 14 and a remainder r when divided by 18.What is the value of a+r?
mik cần gấp giúp với,viết cả lời giải nha!
Suppose f(x) is a polynomial of x.If f(x) has a remainder of 3 when it is divided by 2(x-1) and 2f(x) has a remainder of -4 when it is divided by 3(x+2).Thus when 3f(x) is divided by 4(\(x^2+x-2\)),the remainder is ax+b,where a and b are constants.Then a+b=...............
Giả sử f (x) là một đa thức của x.Nếu f (x) có 3 phần còn lại khi chia cho 2 (x-1) và 2f (x) có phần còn lại của -4 khi chia cho 3 ( x + 2) .Vì khi 3f (x) được chia cho 4 ( x 2 + x - 2 x2 + x-2), phần còn lại là ax + b, trong đó a và b là hằng số. Sau đó a + b = ...............
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