Question

5 more than one-fith of a number is equal to 5 less than one-fourth part of the same number. Find the number.​

Answer 1

200

Explanation:

Let the number = x

`One-fifth \ of \ a \ number = (1)/(5)x\\\\\\5 \ more \ than (1)/(5)x =(1)/(5)x+5\\\\\\one-fourth \ of \ the \ same \ number = (1)/(4)x\\\\\\5 \ less \ than (1)/(4)x=(1)/(4)x-5\\\\\\\\(1)/(5)x+5=(1)/(4)x-5\\\\\\(1)/(5)x=(1)/(4)x-5-5\\\\\\(1)/(5)x-(1)/(4)x=-10\\\\\\(4)/(20)x-(5)/(20)x=-10\\\\\\(-1)/(20)x=-10\\\\\\x= -10*(20)/((-1))\\\\\\x=200`