Math, asked by sandeep6619, 1 year ago

plz answer me i will mark you as brainlists answer

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Answered by syedAFF
0
the correct answer is D

sandeep6619: can you plz elaborate
Answered by siddhartharao77
2

Answer:

5/7

Step-by-step explanation:

Given ratio is 5:7.

Let the numerator be 5x and 7x.

(i)

When 6 is added to both numerator and denominator, the ratio is 4:5

⇒ 5x + 6 : 7x + 6 = 4 : 5

⇒ 5(5x + 6) = 4(7x + 6)

⇒ 25x + 30 = 28x + 24

⇒ 25x - 28x = 24 - 30

⇒ -3x = -6

⇒ x = 2.

Then:

⇒ Numerator = 5x = 10

⇒ Denominator = 7x = 14.


Therefore, the rational number = 10/14 = 5/7.


Hope it helps!

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