SOLUTION: one number is 15 more than another. the sum of twice the larger number and 3 times the smaller number is 180. whats the number ?

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: one number is 15 more than another. the sum of twice the larger number and 3 times the smaller number is 180. whats the number ?      Log On


   

Question 282983: one number is 15 more than another. the sum of twice the larger number and 3 times the smaller number is 180. whats the number ?
Answer by dabanfield(803) About Me  (Show Source):
You can put this solution on YOUR website!
one number is 15 more than another. the sum of twice the larger number and 3 times the smaller number is 180. whats the number ?
Let x be the smaller number. Then x+15 is the larger number.
We have then:
2*(x+15) + 3*x = 180
2x+30 + 3x = 180
5x = 180-30
5x = 150
x=30
The larger number then is x+15 = 45.