Pagina de inicio
/
Matemáticas
/
The quotient of a number and 2, minus 2 equals (3)/(2) Find the number. The unknown number is square

Problemas

The quotient of a number and 2, minus 2 equals (3)/(2) Find the number.
The unknown number is square

The quotient of a number and 2, minus 2 equals (3)/(2) Find the number. The unknown number is square

Solución

avatar
Brisaprofessionell · Tutor durante 6 años
expert verifiedVerificación de expertos
4.1 (211 votos)

Responder

To find the unknown number, let's set up an equation based on the given information:<br /><br />The quotient of a number \( x \) and 2 is expressed as \( \frac{x}{2} \).<br /><br />According to the problem, this quotient minus 2 equals \( \frac{3}{2} \). Therefore, we can write the equation as:<br /><br />\[<br />\frac{x}{2} - 2 = \frac{3}{2}<br />\]<br /><br />To solve for \( x \), first add 2 to both sides of the equation:<br /><br />\[<br />\frac{x}{2} = \frac{3}{2} + 2<br />\]<br /><br />Convert 2 to a fraction with a denominator of 2:<br /><br />\[<br />2 = \frac{4}{2}<br />\]<br /><br />Now, add the fractions on the right side:<br /><br />\[<br />\frac{x}{2} = \frac{3}{2} + \frac{4}{2} = \frac{7}{2}<br />\]<br /><br />Next, multiply both sides of the equation by 2 to solve for \( x \):<br /><br />\[<br />x = 2 \times \frac{7}{2}<br />\]<br /><br />Simplify the right side:<br /><br />\[<br />x = 7<br />\]<br /><br />Thus, the unknown number is \( \boxed{7} \).
Haz clic para calificar: