Question

3

$(3 \sqrt{5 + 5 \sqrt{2} }$
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Answer 1

Answer:

Two numbers are such that the ratio between them is 3:5.If each is increased by 10 ,the ratio between the new numbers so formed is 5:7

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ToFind:−

Original number

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Solution:−

Let the number be 3x and 5x

According to the given condition

Each number is increased by 10 ,the ratio between the new numbers so formed is 5:7

3x + 10/5x + 10 = 5/7

7(3x + 10) = 5(5x + 10)

21x + 70 = 25x + 50

21x - 25x = 50 - 70

- 4x = - 20

x = 20/4 = 5

Hence,

Required numbers

First number = 3x = 15

Second number = 5x = 25