Question

one fifthh of a number diminishes one fourth of its successor by one. The no. is

Answer 1

Answer:

the number is 15 ok mark me brainlist

Answer 2

Given:

one-fifth of a number diminishes one-fourth of its successor by one.

To Find:

Find the number

Solution:

Let the number be x, and it says that one-fifth of a number diminishes one-fourth of its successor by one which can be written as,

$\frac{1}{4}(x+1)-\frac{x}{5} =1$

Now we can solve the above equation and find the value of x, lets start by first multiplying 1/4 inside the bracket, we have

$\frac{1}{4}x+\frac{1}{4} -\frac{x}{5} =1$

Now  taking the x variable on the left side of the equation and the numbers on the right side of the equation, we have

$\frac{1}{4}x+\frac{1}{4} -\frac{x}{5} =1 \\\frac{x}{4} -\frac{x}{5} =1-\frac{1}{4}$

Taking the LCM and subtracting the fractions,

$\frac{x}{4} -\frac{x}{5} =1-\frac{1}{4} \\\frac{5x-4x}{20} =\frac{4-1}{4}\\\frac{x}{20} =\frac{3}{4}$

Now multiplying both sides of the equation with 20, we have

$\frac{x}{20} =\frac{3}{4} \\\frac{x}{20} *20=\frac{3}{4}*20\\x=3*5\\x=15$

so the value of x is 15

Hence, the number is 15.