Answer:
Step-by-step explanation:
Let the number be x
Two thirds of the number is expressed as ;
[tex]\frac{2}{3} * x\\\frac{2x}{3}[/tex]
The number decreased by 18:
[tex]\frac{2x}{3} - 18[/tex]
If the resulting value is equal to 24;
[tex]\frac{2x}{3} - 18 = 24[/tex]
solve the resulting expression for x
[tex]\frac{2x}{3} - 18 = 24\\\frac{2x}{3} = 24+18\\\frac{2x}{3} -= 42\\2x = 3*42\\x = 126/2\\x = 63[/tex]
Hence the unknown number is 63
