Question

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!!

Answer 1

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

Answer 2

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!