Question

One-fourth of a number is 3 more than one-fifth of its successor. Find the number.

Answer 1

1x/4=3+1 (x+1)/5
1x/4=3+2x/5
1x/4-2x/5=3
(5x-8x)/20=3
-3x/20=3
x=3×20/3=20

Answer 2

Answer:

64

Step-by-step explanation:

Let the number be x

Its successor = x+1

We are given that One-fourth of a number is 3 more than one-fifth of its successor.

⇒$\frac{1}{4} x =3+\frac{1}{5} (x+1)$

⇒$\frac{1}{4} x =3+\frac{1}{5}x+frac{1}{5}$

⇒$\frac{x}{20}=frac{16}{5}$

⇒$x=frac{16}{5}\times 20$

⇒$x=16\times4$

⇒$x=64$

Hence the number is 64