A number whose fifth part increased by 5 is equal to its third part decreased by 7. Find half of the number.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 45.
Let the number be x.
So, (x/5) + 5 = (x/3) - 7
⇒ 3x + 75 = 5x - 105
⇒ 2x = 180
⇒ x = 180/2 = 90
⇒ x/2 = 90/2 = 45
Therefore, half of the number is 45.