哪两个数的和为20,差为6?
引入了一个系统来定义从负无穷到正无穷的数字。该系统被称为数字系统。数字系统很容易在数轴上表示,整数、整数、自然数都可以在数轴上定义。数轴包含正数、负数和零。
方程是一种数学语句,它用“=”符号连接两个相等值的代数表达式。例如:在等式 3x+2 = 5 中,3x + 2 是左边的表达式,5 是右边的表达式,用 '=' 符号连接。
主要有3种方程:
- 线性方程
- 二次方程
- 多项式方程
在这里,我们将研究线性方程组。一个变量的线性方程是写成 ax + b = 0 的方程,其中 a 和 b 是两个整数,x 是一个变量,并且只有一个解。例如,3x+2=5 是一个只有一个变量的线性方程。因此,这个方程只有一个解,即 x = 1。另一方面,一个有两个变量的线性方程有两个解。
A one-variable linear equation is one with a maximum of one variable of order one. The formula is ax + b = 0, using x as the variable.
这个方程只有一个解。这里有一些例子:
- 4x = 8
- 5x + 10 = -20
- 1 + 6x = 11
一个变量中的线性方程以标准形式写成:
ax + b = 0
Here,
- The numbers ‘a’ and ‘b’ are real.
- Neither ‘a’ nor ‘b’ are equal to zero.
求解一个变量中的线性方程
求解只有一个变量的方程的步骤如下:
步骤 1:如果有任何分数,请使用 LCM 将其删除。
第 2 步:等式两边都应该简化。
第 3 步:从方程中删除变量。
第 4 步:确保您的回答是正确的。
哪两个数的和为20,差为6?
解决方案:
Let both numbers be first and second.
According to the problem statement:
first + second = 20 (Consider this as 1st equation)
first – second = 6 (Consider this as 2nd equation)
Add both equations:
first + second + first – second = 20 + 6
2 * first = 26
first = 26 / 2
first = 13
So from this we get first = 13, put this value in any equation i.e.
first + second = 20 (Put the value of first in this equation)
13 + second = 20
second = 20 – 13
second = 7
So, the numbers are 13 and 7.
If we consider the case i.e. second – first = 6 then the solution will be same and the first number will become 7 and second number will become 13.
类似问题
问题1:三个数之和是30,这三个数中前两个数之和是19。任务是找到第三个数。
解决方案:
Let the numbers be first, second and third.
According to the problem statement:
first + second + third = 30 (Consider this as 1st equation)
first + second = 19 (Consider this as 2nd equation)
So, put the value of 2nd equation in 1st equation i.e.
first + second +third = 30 (Put the value of first+second in this equation)
19 + third = 30
third = 30-19
third = 11
So, the third number is 11.
问题2:哪两个数的和为34,差为6?
解决方案:
Let both numbers be first and second.According to the problem statement:
first + second = 34 (Consider this as 1st equation)
first – second = 6 (Consider this as 2nd equation)
Add both equations:
first + second + first – second = 34 + 6
2 * first = 40
first = 40 / 2
first = 20
So, from this we get first = 20, put this value in any equation i.e.
first + second = 34 (Put the value of first in this equation)
20 + second = 34
second = 34 – 20
second = 14
So, the numbers are 20 and 14.
If we consider the case i.e. second – first = 6 then the solution will be same and the first number will become 14 and second number will become 20.