Question

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?

Answer 1

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

where x is the number

Answer 2

Answer: Hence, the equation that could be used to find the number is given by
`(x)/(3)+(3x)/(4)-x=1`

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

`(x)/(3)+(3x)/(4)-x=1\\\\(4x+9x-12x)/(12)=1\\\\(13x-12x)/(12)=1\\\\(x)/(12)=1\\\\x=12`

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

`(x)/(3)+(3x)/(4)-x=1`