The number is 280.
What is linear equation in one variable?
The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.
Let the number be x.
According to the given question.
[tex]\frac{5}{8}[/tex] of number is 175.
The linear equation in one variable of the above statement is given by
[tex]\frac{5}{8}(x) = 175[/tex]
Solve the above linear equation in one variable for x.
[tex]\frac{5}{8} x = 175[/tex]
⇒ [tex]5x = 175(8)[/tex] ( multiplying both the sides by 8)
⇒ [tex]5x = 1400[/tex]
⇒ [tex]x = \frac{1400}{5}[/tex] ( dividing both the sides by 5)
⇒ [tex]x =280[/tex]
Hence, the number is 280.
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