❓ Help Math problem! pasagot po hehe

[Lancethegreat23]

The denominator of a fraction is 4 less than twice the numerator. If 3 is added to both the denominator and the numerator, the new fraction has a value of 2/5. What was the original fraction?

salamat sa sagot

 

[PHC_Taong-BATO]

bigyan mo nalang ng lutong ulam si maam niyo ts.

 

[fat-cat]

let n = the numerator of the original fraction
let d = the denominator
:
Write an equation for each statement
:
The denominator of a fraction is four less than twice the numerator
d = 2n - 4
:
if three is added to both the numerator and denominator, the new fraction is equal to two-fifths.
https://www.algebra.com/cgi-bin/plot-formula.mpl?E×ρréššion=%28%28n%2B3%29%29%2F%28%28d%2B3%29%29 =2/5
cross multiply
5(n+3) = 2(d+3)
5n + 15 = 2d + 6
5n = 2d + 6 - 15
5n = 2d - 9

replace d = (2n-4)
5n = 2(2n-4) - 9
5n = 4n - 8 - 9
5n - 4n = -17
n = -17

Find d using the 1st equation d = 2n - 4
d = 2(-17) - 4
d = -38
:
What is the original fraction? (-17/-38)

-17+3 = -14
-38+3= -35

=2/5

 

[Pen_J]

let n = the numerator of the original fraction
let d = the denominator
:
Write an equation for each statement
:
The denominator of a fraction is four less than twice the numerator
d = 2n - 4
:
if three is added to both the numerator and denominator, the new fraction is equal to two-fifths.
https://www.algebra.com/cgi-bin/plot-formula.mpl?E×ρréššion=%28%28n%2B3%29%29%2F%28%28d%2B3%29%29 =2/5
cross multiply
5(n+3) = 2(d+3)
5n + 15 = 2d + 6
5n = 2d + 6 - 15
5n = 2d - 9

replace d = (2n-4)
5n = 2(2n-4) - 9
5n = 4n - 8 - 9
5n - 4n = -17
n = -17

Find d using the 1st equation d = 2n - 4
d = 2(-17) - 4
d = -38
:
What is the original fraction? (-17/-38)

-17+3 = -14
-38+3= -35

=2/5

fat-cat, Pareho tayo ng sagot:

 

[OrangeMoon]

Naging Çℎḙḡḡ bigla ang PHC