Question

Two times the quantity of seven less than one-fourth of a number is equal to four more than one-third of the number. What is the number?

Answer 1

Answer:

The number is 17$\frac{1}{7}$

Step-by-step explanation:

Let the number be x;

2(7) - $\frac{1}{4}$x = 4 + $\frac{1}{3}$x

Simplifying gives,

14 - 0.25x = 4 + $\frac{1}{3}$x

14 - 4 = $\frac{1}{3}$x + $\frac{1}{4}$x

10 = $\frac{4 + 3}{12}$x

10 = $\frac{7}{12}$x

x = 120 ÷ 7 = 17$\frac{1}{7}$

Answer 2

The number as per the given conditions would be as follows:

$108$

Number

• A number is a mathematical object that can be used to count, measure, and name things. The natural numbers $1, 2, 3, 4,$ and so on are the original examples.
• Number words can be used to represent numbers in language.

Let $x$ denotes the number.

Seven less than one-fourth of a number $=\frac{x}{4} -7$

Four more than one-third of the number $=\frac{x}{3}+4$

Therefore,

$2(\frac{x}{4}-7)=\frac{x}{3}+4$

   $\frac{x}{2}-14=\frac{x}{3}+4$

           $\frac{x}{6}=18$

            $x=108$

Thus, the number is $\textbf{108}$

Find out more information about the number here:

brainly.com/question/17429689