Question

Two times the quantity of seven less than 1/4 of a number is equal to four more than 1/3 of the number what is the number

Answer 1

108

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Let's denote the unknown number as x.

According to the problem, we have the equation:

• 2*(x/4 - 7) = x/3 + 4

Simplifying this equation we get:

• x/2 - 14 = x/3 + 4

To solve the equation, it's easiest if we clear fractions first. Let's find a common multiple of 2 and 3, which would be 6, and multiply the entire equation by that.

Once we've done that and simplify the equation, we have:

• 3x - 84 = 2x + 24
• 3x - 2x = 24 + 84
• x = 108