The denominator of a rational number is greater than its numerator by 3. if the numerator is increased by 7 and the denominator is decreased by 1, the new number becomes 3/2. find the original number.

8/11

Step-by-step explanation:

Original:

x/(x+3)

Numerator is increased by 7 and denominator is decreased by 1

(x+7)/(x+3-1) = 3/2(x+7)/(x+2) = 3/2Cross multiply;(x+7)(2) = (x+2)(3)2x+14 = 3x+614-6 = 3x-2x8 = x

Original

x/(x+3)8/(8+3)8/11

X is the numerator
x + 3 is the denominator

x / (x + 3) is the orinal number

2nd statement

(x + 7)) / (× - 1) = 3/2; by cross multiplication
we can solve the value of x which is 17. therefore the original number is 17/20.

to check (17 + 7) / (17 - 1) = 3/2
24/16 = 3/2
3/2 = 3/2

answer is:- 8/11.Explanation is in the Attachment....Hope it helps you dear.......xd