advanced algebra 1

Question

twenty-five times a number is the same number increased by forty-eight

Answer 1

Let "x" be "the number".

"Twenty-five times a number" then is "25x".

"The number increased by forty-eight" is "x + 48".

So 25x = x + 48

Subtract "x" from both sides to get 24x = 48

Divide both sides by 24 to get x = 2

Check this by multiplying the answer "2" by 25 (you get 50) and increasing it by 48 (you also get 50).

Answer 2

25x = x + 48

24x = 48

x = 48/24 = 2

x = 2