SOLUTION: Find the sum of two positive numbers whose difference is 136 and whose quotient is 18

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Find the sum of two positive numbers whose difference is 136 and whose quotient is 18      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 260739: Find the sum of two positive numbers whose difference is 136 and whose quotient is 18
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Let A and B be the numbers. We have
(i) A - B =136
(ii) A/B = 18
solving (ii) for A, we get
(iii) A = 18B
substitute this into (i) and we get
(iv) 18B - B = 136
or
17B = 136
B = 8
so A = 144