When a number is divided by 4, it is reduced by 21. What is the number?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 28
Dividing by 4 keeps a quarter of the number, so the reduction is three quarters of it.
Let the number be \(x\); then \(\displaystyle x-\frac{x}{4}=21\)
\(\displaystyle \frac{3x}{4}=21\), so \(x=28\)
Check: \(28\div4=7\), and \(28-7=21\)
The number is 28.