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Answer :
To solve the mathematical problems given:
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.
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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