SOLUTION: Two no. Are in the ratio 5:6. If 8 is subtracted from each of the no. the becomes 4:5. Find the no.

Algebra ->  Linear-equations -> SOLUTION: Two no. Are in the ratio 5:6. If 8 is subtracted from each of the no. the becomes 4:5. Find the no.      Log On


   

Question 1040881: Two no. Are in the ratio 5:6. If 8 is subtracted from each of the no. the becomes 4:5. Find the no.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
X%2FY=5%2F6
1.6X=5Y
.
.
%28X-8%29%2F%28Y-8%29=4%2F5
5%28X-8%29=4%28Y-8%29
5X-40=4Y-32
5X=4Y%2B8
Multiplying by 6,
30X=24Y%2B48
Multiplying eq. 1 by 5 and substituting,
30X=25Y
25Y=24Y%2B48
highlight%28Y=48%29
So then,
6X=5Y
6X=5%2848%29
6X=240
highlight%28X=40%29