Question

"six more than one-fourth of a number is two-fifth of the number

Answer 1

Let the number be x so,
6+1/4x=2/5x

Answer 2

Let the no. be x.
One- fourth of the no. =x/4
Two-fifth of the no. =x × 2/5
=2x/5
According to the question,
x/4+6=2x/5
x+24/4=2x/5 (cross multiplication)
5 (x+24)=4 (2x)
5x+120=8x
5x-8x= -120
-3x= -120
or 3x= 120
or x=120/3
or x= 40.

Therefore,40 is the required number.