123k views
0 votes
Find the number that when added to the numerator and subtracted from the denominator of 3/11 results in a fraction equivalent to 5/2

Plz help thank you!!

2 Answers

3 votes

Answer:

7

Explanation:

Let that no. be b

(3+n)/(11-n) = 5/2

2(3+n) = 5(11-n)

6 + 2n = 55 - 5n

7n = 49

n = 7

User Phlie
by
7.8k points
5 votes

Answer:

7

Explanation:

Suppose the "number" is x.

The problem says that when x is added to the numerator of 3/11 (in other words, added to 3) and subtracted from the denominator of 3/11 (in other words, subtracted from 11), the answer is 5/2. So:

(3 + x)/(11 - x) = 5/2

Cross-multiplying, we have:

2 * (3 + x) = 5 * (11 - x)

6 + 2x = 55 - 5x

7x = 55 - 6 = 49

x = 49/7 = 7

Thus, the answer is 7.

Hope this helps!

User Oliverdejohnson
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.