Question

Plz answer this question as soon as possible with explanation frns

Correct answer will be marked as BRAINLIEST ANSWER

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Answer 1

Answer:

b) 5/7

Step-by-step explanation:

The ratio of rational number=5x/7x

6 added to the number then the number will be (5x+6)/(7x+6)=4/5

Then do cross multiply

5*(5x+6)=4*(7x+6)

25x+30=28x+24

30-24=28x-25x

6=3x

x=6/3

x=2

The ratio of rational number is 5x:7x

(5*2)/(7*2)=10/14=5/7

Answer 2

Answer:

5/7 is the rational number [Option B]

Step-by-step explanation:

☆Question☆

The ratio 5:7. When 6 is added to both the numerator and denominator,the ratio becomes 4:5. What is the rational number.

☆Answer☆

• Let the numerator and the denominator of the rational number be 5x and 7x respectively .
• We can write 4:5 as 4/5

Given

• 》When 6 is added to both the numerator and denominator,the ratio becomes 4:5.

• 》So( 5x + 6 ) / (7x + 6) = 4/5

• 》Do Cross multiplication

• 》5 (5x + 6) = 4 (7x + 6)

• 》(5 × 5x) + (5 × 6) = (4 × 7x) + (4 × 6)

• 》25x + 30 = 28x + 24

• 》25x - 28x = -30 + 24

• 》-3x = -6

• 》x = -6/-3

• 》x = 2

So we got x as 2

=>Numerator = 5x = 5 × 2 = 10

=>Denominator = 7x = 7 × 2 = 14

So the rational number = 10/14

In simplest form it will be 5/7 [Option b]