The sum of the numerator and the denominator of
a fraction is 4 more than twice the numerator. if 3
is added to each of the numerator and denominator,
their ratio becomes 2 : 3. find the fraction.

Step-by-step explanation:

let the fraction be , then

x + y = 2x + 4 ( subtract x from both sides )

y = x + 4 → (1)

If 3 is added to numerator and denominator, then

= ( cross- multiply )

3(x + 3) = 2(y + 3) ← distribute both sides

3x + 9 = 2y + 6 ← substitute y = x + 4

3x + 9 = 2(x + 4) + 6

3x + 9 = 2x + 8 + 6 = 2x + 14 ( subtract 2x from both sides )

x + 9 = 14 ( subtract 9 from both sides )

x = 5

Substitute x = 5 into (1)

y = 5 + 4 = 9

Hence the original fraction is

constants mean the stopped points or the points on a graph that nothing is changing, hope this

step-by-step explanation: