Question

Divide. 3 litres in the ratio 1:2:3

Answer 1

3 ltres=3000
    1x+2x+3x=3000
or,6x=3000
or,x=3000/6=500

so,1x=500
     2x=2*500=1000
     3x=3*500=1500

Answer 2

Answer:

$\red {3\: litres \: divided \:in \:the \:ratio \: 1:2:3}$

$\green { is \: \frac{1}{2}\:litre,\:1\:litre\:and \:1\frac{1}{2}\:litre}$

Step-by-step explanation:

$Given \: 3\: litres \: divided \:in \:the \:ratio \: 1:2:3$

$Let \: a:b:c = 1:2:3$

$Let \: a = x, \\b= 2x, \\c = 3x$

$a+b+c = 3\: litres$

$\implies x + 2x + 3x = 3$

$\implies 6x = 3$

$\implies x = \frac{3}{6} = \frac{1}{2}$

Therefore.,

$x = \frac{1}{2}$

$Second \:part = 2x = 2\times \frac{1}{2}=1\:litre$

$Third \:part = 3x = 3 \times \frac{1}{2}= 1\frac{1}{2}\:litre$

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