两个数之和是 17，它们的差是 5。这些数是多少？

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 5x+3 = 7 中，5x+ 3 是左侧表达式，7 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，5x+3=7 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 = 4/5。另一方面，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。

两个数之和是 17，它们的差是 5。这些数是多少？

解决方案：

Let both numbers be first and second.

According to the problem statement:

first + second = 17 (Consider this as 1st equation)
first – second = 5  (Consider this as 2nd equation)

Add both equations:

first + second + first – second = 17 + 5
2 * first = 22
first = 22 / 2
first = 11

So from this we get first = 11, put this value in any equation i.e.

first + second = 17 (Put the value of first in this equation)
11 + second = 17
second = 17 – 11
second = 6

So, the numbers are 11 and 6.

If we consider the case i.e. second – first = 5, then the solution will be same and the first number will become 6 and second number will become 11.

示例问题

问题1：哪两个数的和为19，差为15？

解决方案：

Let both numbers be first and second. According to the problem statement:

first + second = 19 (Consider this as 1st equation)
first – second = 15  (Consider this as 2nd equation)

Add both equations:

first + second + first – second = 19 + 15
2 * first = 34
first = 34 / 2
first = 17

So from this we get first = 17, put this value in any equation i.e.

first + second = 19 (Put the value of first in this equation)
17 + second = 19
second = 19 – 17
second = 2

So, the numbers are 17 and 2.

If we consider the case i.e. second – first = 15, then the solution will be same and the first number will become 2 and second number will become 17.

问题2：哪两个数的和为23，差为13？

解决方案：

Let both numbers be first and second.

According to the problem statement: 

first + second = 23 (Consider this as 1st equation)
first – second = 13  (Consider this as 2nd equation)

Add both equations:

first + second + first – second = 23 + 13
2 * first = 26
first = 36 / 2
first = 18

So from this we get first = 18, put this value in any equation i.e.

first + second = 23 (Put the value of first in this equation)
18 + second = 23
second = 23 – 18
second = 5

So, the numbers are 18 and 5.

If we consider the case i.e. second – first = 13, then the solution will be same and the first number will become 5 and second number will become 18.