Question

interchanged the number obtained is 36 more than the original number. Find the number.
21. The sum of the numerator and denominator of a fraction is 15. If the denominator is increased
by 1, the fraction becomes 1/3. Find the fraction.
age​

Answer 1

Answer:

4/11

Step-by-step explanation:

Let numerator be n

DENOMINATOR BE d.

Their sum = 15.

n + d = 15

n = 15 - d

Hence fraction = n/d , but n is 15 - d.

So fraction = 15 - d/d

When denominator increases by 1, fraction becomes 1/3.

15-d/d +1 = 1/3

By cross multiplying,

45 - 3d = d+1

-3d -d = 1 - 45

-4d = -44

d = -44/-4

d = 11

Hence denominator = 11.

Numerator = 15 - 11 = 4

So fraction = 4/11.

Hope it helps you.