SOLUTION: Good day SirMaam, Please help me solve this word problem: Thank you vey much. The sum of the numerator and denominator of a fraction is 32. The denominator is 3 less than 4 tim

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Good day SirMaam, Please help me solve this word problem: Thank you vey much. The sum of the numerator and denominator of a fraction is 32. The denominator is 3 less than 4 tim      Log On


   

Question 985851: Good day SirMaam, Please help me solve this word problem: Thank you vey much.
The sum of the numerator and denominator of a fraction is 32. The denominator is 3 less than 4 times the numerator. Give the fraction
Answer by Timnewman(323) About Me  (Show Source):
You can put this solution on YOUR website!
Hi dear,
The fraction is 7/25
HERE IS THE WORKING;
Let the fraction be a/b
Fron your question,
a+b=32----(1)
b=4a-3-----(2)
put 2 in 1
a+4a-3=32
5a=32+3
5a=35
a=7
put a=7 in 2
b=(4*7)-3
b=28-3
b=25
The fraction a/b=7/25
HOPE THIS HELPS;
TIMNEWMAN::