哪两个数之和为 20,差为 8?
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。数系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 是左侧表达式,5 是与“=”符号连接的右侧表达式。
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。
哪两个数之和为 20,差为 8?
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 = 8 (Consider this as 2nd equation)
Add both equations:
first + second + first – second = 20 + 8
2 * first = 28
first = 28 / 2
first = 14
So from this we get first = 14, put this value in any equation i.e.
first + second = 20 (Put the value of first in this equation)
14 + second = 20
second = 20 – 14
second = 6
So, the numbers are 14 and 6.
If we consider the case i.e. second – first = 8 then the solution will be same and the first number will become 6 and second number will become 14.
类似问题
问题1:三个数之和是77,这三个数的前两个数之和是33。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 = 77 (Consider this as 1st equation)
first + second = 33 (Consider this as 2nd equation)
So, put the value of 2nd equation in 1st equation i.e.
first + second +third = 77 (Put the value of first+second in this equation)
33 + third = 77
third = 77-33
third = 44
So, the third number is 44.
问题2:哪两个数的和为22,差为4?
解决方案:
Let the both numbers be first and second.
According to the problem statement:
first + second = 22 (Consider this as 1st equation)
first – second = 4 (Consider this as 2nd equation)
Add both equations:
first + second + first – second = 22 + 4
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 = 22 (Put the value of first in this equation)
13 + second = 22
second = 20 – 13
second = 9
So, the numbers are 13 and 9.
If we consider the case i.e. second – first = 4 then the solution will be same and the first number will become 9 and second number will become 13.