The value of the unknown number is - 45
The word problem expressed in algebra form is written as;
let the unknown number = y
Two thirds of the number reduced by 11 = [tex]\frac{2y}{3} - 11[/tex]
4 more than the number , [tex]\frac{2y}{3} - 11 = y + 4[/tex]
The value of the unknown number is calculated as follows;
[tex]\frac{2y}{3} - 11 = y + 4\\\\multiply \ through \ by \ 3\\\\2y -33 = 3(y + 4)\\\\2y - 33 = 3y + 12\\\\collect \ similar \ terms \ together;\\\\2y - 3y = 33 + 12\\\\-y = 45\\\\y = -45[/tex]
Thus, the unknown number is - 45
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