SOLUTION: Find the numbers if the sum of the two numbers is 51. Five times the larger number decreased by 7 equals one more than eight times the smaller number.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Find the numbers if the sum of the two numbers is 51. Five times the larger number decreased by 7 equals one more than eight times the smaller number.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 889811: Find the numbers if the sum of the two numbers is 51. Five times the larger number decreased by 7 equals one more than eight times the smaller number.
Found 2 solutions by charu91, Fombitz:
Answer by charu91(7) About Me  (Show Source):
You can put this solution on YOUR website!
clock can be divided into 12 parts,making a total angle of 360¤.So 1 hour makes an angle 360¤/12=30¤.
6 hour makes an angle 30¤*6=180¤
20 minutes coincide with 4 of the clock.It makes an angle 30¤*4=120¤
the angle between 6 hours and 20 minutes
=180¤-120¤
=60¤

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.A%2BB=51
.
.
.
5%2AB-7=1%2B8%2AA
2.-8A%2B5B=8
Multiply eq. 1 by 8 and add to eq. 2,
8A%2B8B-8A%2B5B=408%2B8
13B=416
highlight%28B=32%29
From eq. 1,
A%2B32=51
highlight%28A=19%29