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 ?

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.