Question

In a group one third of the members are disciplined , the square root of the total number of persons in the group are punctual and the remaining 3 are hardworking. Find the total number of persons in the group.

Answer 1

Answer:

Number of people = 9

Step-by-step explanation:

Let the total number of people in the group be 'x'.

It is given that:

• $\frac{1}{3}x$ are disciplined.
• $\sqrt{x}$ are punctual.
• 3 are hardworking

Therefore,

$\frac{1}{3}x +\sqrt{x} +3=x\\\sqrt{x} =\frac{2}{3}x-3$

Square both sides:

$x=\frac{4}{9}x^2-4x+9\\\frac{4}{9}x^2-5x+9=0\:\:\:(*9)\\4x^2-45x+81=0\\x=9\:\:\:or\:\:\:x=9/4$

x=9/4 solution is not possible. Therefore, the number of people in the group 'x' = 9.

Answer 2

simplest way of this question