Question

Two thirds of a number decreased by eighteen is negative twenty-four.

Answer 1

Answer:

Step-by-step explanation:

Let the number be x

Two thirds of the number is expressed as ;

$\frac{2}{3} * x\\\frac{2x}{3}$

The number decreased by 18:

$\frac{2x}{3} - 18$

If the resulting value is equal to 24;

$\frac{2x}{3} - 18 = 24$

solve the resulting expression for x

$\frac{2x}{3} - 18 = 24\\\frac{2x}{3} = 24+18\\\frac{2x}{3} -= 42\\2x = 3*42\\x = 126/2\\x = 63$

Hence the unknown number is 63