plz answer me i will mark you as brainlists answer
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the correct answer is D
sandeep6619:
can you plz elaborate
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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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