Question

one fourth of the number of pens i have are blue. two third of the remaning are black,and the rest are 10 find the number of pens

Answer 1

let the total no of pens be x
$blue \: pens = \frac{1}{4} x \\ black \: pens \: = \frac{2}{3} (x - \frac{x}{4} ) = \frac{2}{3} \times \frac{3x}{4} = \frac{x}{2} \\ remaining \: pens = 10 \\ \frac{x}{4} + \frac{x}{2} + 10 = x \\ x - \frac{x}{4} - \frac{x}{2} = 10 \\ \frac{4x - x - 2x}{4} = 10 \\ \frac{x}{4} = 10 \\ x = 40 \\ \\ \\ total \: noof \: pens = 40$

Answer 2

$blue \: pens \: \: \: = \frac{1}{4} x \\ black \: pens \: = \frac{2}{3} \times \frac {3x}{4}\\ balance \: \: \: \: \: \: \: = 10 \\ total \: no. \: of \: pens \\ x= \frac{x}{4} + \frac{x}{2} + 10 \\10 =x -\frac{x}{4} - \frac{x}{2} \\ \frac{4x -x -2x}{4} = 10 \\ \frac{ x }{4} = 10 \\ x = 40$

I hope it is the answer

❇❇✌✌by Sri ✌✌❇❇