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

Question

asked Apr 6, 2021 46.3k views

1 Answer

Smithco · Answer 1 · 2021-04-10T22:54:56+0000

Answer:

Explanation:

Let the number be x

Two thirds of the number is expressed as ;

$(2)/(3) * x\\(2x)/(3)$

The number decreased by 18:

(2x)/(3) - 18

If the resulting value is equal to 24;

(2x)/(3) - 18 = 24

solve the resulting expression for x

$(2x)/(3) - 18 = 24\\(2x)/(3) = 24+18\\(2x)/(3) -= 42\\2x = 3*42\\x = 126/2\\x = 63$

Hence the unknown number is 63