contestada

The sum of one-third of a number and three-fourths of the number exceeds that number by one.

Which equation could be used to find the number?

Respuesta :

1/3x+3/4x=x+1

where x is the number

Answer: Hence, the equation that could be used to find the number is given by [tex]\dfrac{x}{3}+\dfrac{3x}{4}-x=1[/tex]

Step-by-step explanation:

Since we have given that

The sum of one-third of a number and three-fourths of the number exceeds that number by one.  

So, the equation would be

[tex]\dfrac{x}{3}+\dfrac{3x}{4}-x=1\\\\\dfrac{4x+9x-12x}{12}=1\\\\\dfrac{13x-12x}{12}=1\\\\\dfrac{x}{12}=1\\\\x=12[/tex]

Hence, the equation that could be used to find the number is given by

[tex]\dfrac{x}{3}+\dfrac{3x}{4}-x=1[/tex]