The difference between a number and two-fifths of it is 45. What is the number?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 75
Taking two-fifths of a number away leaves three-fifths of it, and that is 45.
Let the number be \(x\)
\(x-\displaystyle\frac{2x}{5}=\frac{3x}{5}=45\)
\(x=\displaystyle\frac{45\times5}{3}=75\)
Check: two-fifths of 75 is 30, and \(75-30=45\). The number is 75.