SOLUTION: The present ages of A and B are as 6:4.Five years ago their ages were in the ratio 5:3.Find their present ages. a.42,28 b.36,24 c.20,30 d.30,20 e.25,15

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: The present ages of A and B are as 6:4.Five years ago their ages were in the ratio 5:3.Find their present ages. a.42,28 b.36,24 c.20,30 d.30,20 e.25,15      Log On


   

Question 978481: The present ages of A and B are as 6:4.Five years ago their ages were in the ratio 5:3.Find their present ages.
a.42,28
b.36,24
c.20,30
d.30,20
e.25,15
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
a%2Fb=3%2F2 and %28a-5%29%2F%28b-5%29=5%2F3.

system%282a=3b%2C3%28a-5%29=5%28b-5%29%29

system%282a=3b%2C3a-15=5b-25%29

system%282a=3b%2C3a-5b=15-25%29

system%282a=3b%2C3a-5b=-10%29

b=2a%2F3

3a-5%282a%2F3%29=-10
You can finish this...


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9a-5%2A2%2Aa=-10%2A3
-a=-30
a=30-------but use this now to evaluate what is b.
b=20