The numerator of a fraction is 3 less than its denominator. If the numerator is increased by 1
and the denominator is increased by 3, the fraction becomes 1/2. Find the original fraction.

Step-by-step explanation:

let x represent the denominator then x - 3 represents the numerator.

Increase the numerator by 1, that is x - 3 + 1 = x - 2

Increase the denominator by 3, that is x + 3, then fraction

= ( cross- multiply )

2(x - 2) = x + 3, that is

2x - 4 = x + 3 ( subtract x from both sides )

x - 4 = 3 ( add 4 to both sides )

x = 7

Thus original fraction is

=

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation: