Question

A number is doubled and then the product is increased by 6. This sum is then multiplied by -3, and the result is 54 greater than three times the opposite of the number. What is the number? *

Answer 1

let the number be "x" .

now according to the given question ;

• (2x+6)×(-3)=-3x +54
• -6x -18 = -3x + 54
• 6x - 3x = -18-54
• 3x = -72
• x = -72/3
• x = -24

The required answer is -24 .

Answer 2

• -24

Explanation:

Let the number be x

Then we have the equation

• (2x + 6)*(-3) = -3x + 54
• -6x - 18 = -3x + 54
• 6x - 3x = -18 - 54
• 3x = -72
• x = -72/3
• x = - 24