Question

divide 34 into two parts in such a way that 4 by seventh of one part is equal to 2 by 5 of the other​

Answer 1

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One part = 14

One part = 20

⭐${\blue{Explanation}}$⭐

Let one part be x

then the other part will be 34-x

According to question, 4/7 of one part(x) is equal to 2/5 of the other part(34-x)

so, 4x/7 = 2(34-x)/5

by cross multiply,

4x × 5 = 2(34-x)×7

20x = 2(34-x)×7

20x/2 = 7(34-x)

10x = 238 - 7x

10x + 7x = 238

17x = 238

x = 14

So one part is = x = 14

Other part = 34 - x = 34-14 = 20

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