Question

Divide 742 into two parts in ratio 1/2:2/3.

Answer 1

Find the ratio in whole number:

Ratio = 1/2 : 2/3

multiply both sides by 6:

Ratio = 3 : 4

Divide 742:

Let x be the constant ratio

Ratio = 3x : 4x

3x + 4x = 742

7x = 742

x = 106

Find the parts:

3x = 3(106) = 318

4x = 4(106) = 424

Answer: The two parts are 318 and 424

Answer 2

Hope u like my process
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=> Ratio given is =

$= \bf \frac{1}{2} : \frac{2}{3} \\ \\ = \it ( \frac{1}{2} : \frac{2}{3} ) \times 6 \\ \\ = \bf \: \underline{3 : 4}$

Total given = 742

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For getting the division, we should take out the product of fraction and total.
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So, for 1st part,

$= > \it \frac{3}{3 + 4} \times 742 \\ \\ \it = \frac{3}{7} \times 742 \\ \\ = \it \: 3 \times 106 = \bf \: \underline{318}$



And for 2nd part,

$= > \it\frac{4}{4 + 3} \times 742 \\ \\ = \it \frac{4}{7} \times 742 \\ \\ = \it 4 \times 106 = \bf \underline{424}$
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Thus the division of 742 in ratio ½ : ⅔ is

=> 318 and 424 respectively
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