Question

IF 24 IS ADDED TO A NUMBER, IT WILL BE 3 TIMES AS LARGE AS IT WAS ORIGINALLY. FIND THE NUMBER

Answer 1

To find the number which, when added to 24 becomes three times larger, we use simple algebra to solve the equation and find that the original number is 12.

Step-by-step explanation:

The student is grappling with an algebraic problem, aiming to decipher a number that, when increased by 24, triples its original value. The foundational step involves formulating the equation "x + 24 = 3x," with x denoting the original number. Through subtracting x from both sides, the equation transforms into "24 = 2x." Further, dividing both sides by 2 isolates x, revealing x = 12. Consequently, the elusive number is established as 12, showcasing the successful application of algebraic principles to unveil the unknown quantity within the given problem's parameters.

Answer 2

`x-the\ number\\\\x+24=3x\ \ \ \ \ \ |subtract\ 24\ from\ both\ sides\\\\x=3x-24\ \ \ \ \ \ \ |subtract\ 3x\ from\ both\ sides\\\\-2x=-24\ \ \ \ \ \ \ \ |divide\ both\ sides\ by\ (-2)\\\\\boxed{x=12}\leftarrow answer`