A number whose one fifth part is increased by 4 is equal to its one fourth part diminished by 16, then the number is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 400
Let the number be x
Given:
x/5 + 4 = x/4 − 16
Multiply both sides by 20:
4x + 80 = 5x − 320
80 + 320 = 5x − 4x
400 = x
Hence, the number is 400.