SOLUTION: Can you please help me with this linear equation? One number is 15 more than another. The sum of twice the larger and 3 times the smaller is 182. Find the numbers. thanks

Question 187658: Can you please help me with this linear equation?
One number is 15 more than another. The sum of twice the larger and 3 times the smaller is 182. Find the numbers.
thanks

Answer by user_dude2008(1862) (Show Source): You can put this solution on YOUR website!
"One number is 15 more than another." ----> y=x+15

"The sum of twice the larger and 3 times the smaller is 182" ----> 2y+3x=182

2y+3x=182

2(x+15)+3x=182

2x+30+3x=182

2x+3x=182-30

5x=152

x=30.4

y=x+15

y=30.4+15

y=45.4
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