SOLUTION: The difference between two numbers is 15. when twice the smaller number is subtracted from three times the larger number, the difference is 58. what is the larger number? Tha

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Question 129968: The difference between two numbers is 15. when twice the smaller number is subtracted from three times the larger number, the difference is 58. what is the larger number? Thank you...
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the larger number a
Call the smaller number b
a+-+b+=+15
b+=+a+-+15
3a+-+2b+=+58
3a+-+2%28a+-+15%29+=+58
3a+-+2a+%2B+30+=+58
a+=+58+-+30
a+=+28
The larger number is 28
check:
b+=+a+-+15
b+=+28+-+15
b+=+13
3a+-+2b+=+58
3%2A28+-+2%2A13+=+58
84+-+26+=+58
58+=+58
OK