Question

one fourth of a number is 3 more than one fifth of its successor find the number​

Answer 1

Step-by-step explanation:

Let the number be x.

Now, it's being given that one fourth of this number is 3 more than one fifth of its successor. (it's bit complicated, to make an equation at a go, so let's break it)

Successor: The number, which is obtained by adding 1 to the given number is called the successor of the given number.

So, successor of x is x+1.

$\rm Now,\ one\ fourth\ of\ x\ means\ \frac{x}{4}\ and\ one\ fifth\ of\ its\ successor\ means\ \frac{x+1}{5}\\ \\ \\ \rm Now,\ we'll\ form\ the\ equation\\ \\ \rm \frac{x}{4}=\frac{x+1}{5}+3 -(1)\\ \\ \\ \implies \rm \frac{x}{4}=\frac{x+1+15}{5}\\ \\ \\ \implies \rm \frac{x}{4}=\frac{x+16}{5}\\ \\ \\ \implies \rm 5x=4x+64\qquad \qquad (cross-multiply)\\ \\ \implies \rm x=64\\ \bf \therefore The\ number\ is\ 64.$