Twelve less than four-fifths of a number is more than 24.

Answer 1

Let's assume the number is "x".
Four-fifths of a number: (4/5)x
Twelve less than four-fifths of a number: (4/5)x - 12
Given that this expression is more than 24, we can write the inequality: (4/5)x - 12 > 24
Adding 12 to both sides of the inequality, we get: (4/5)x > 36
To isolate x, we need to multiply both sides of the inequality by the reciprocal of 4/5, which is 5/4: (5/4) * (4/5)x > 36 * (5/4)
This simplifies to: x > 45
Therefore, any number greater than 45 satisfies the given condition.