High School

A number m increased by 7 is 25.

m + 7 = 25

1st way:
m + 7 - 7 = 25 - 7
m = 18

2nd way:
m + 7 = 25
m = 25 - 7
m = 18

The sum number and 34 is 49.

x + 34 = 49

1st way:
x + 34 - 34 = 49 - 34
x = 15

2nd way:
x + 34 = 49
x = 49 - 34
x = 15

Answer :

To solve the mathematical problems given:


  1. Equation 1: A number [tex]m[/tex] increased by 7 is 25.

    This equation can be written as:

    [tex]m + 7 = 25[/tex]

    To find the value of [tex]m[/tex], subtract 7 from both sides of the equation.

    [tex]m + 7 - 7 = 25 - 7[/tex]

    Simplifying both sides, we get:

    [tex]m = 18[/tex]

    Thus, the number [tex]m[/tex] is 18.


  2. Equation 2: The sum of a number [tex]x[/tex] and 34 is 49.

    This equation can be written as:

    [tex]x + 34 = 49[/tex]

    To find the value of [tex]x[/tex], subtract 34 from both sides of the equation.

    [tex]x + 34 - 34 = 49 - 34[/tex]

    Simplifying both sides, we get:

    [tex]x = 15[/tex]

    Thus, the number [tex]x[/tex] is 15.



In simple terms, the first problem determines the number that becomes 25 when 7 is added, giving [tex]m = 18[/tex]. The second problem finds the number that added to 34 equals 49, resulting in [tex]x = 15[/tex]. Both problems use basic algebraic techniques to isolate the unknown numbers.

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