SOLUTION: the sum of two numbers is fifteen.One less than three times the smaller number is equal to the larger. find the two numbers

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Question 185768: the sum of two numbers is fifteen.One less than three times the smaller number is equal to the larger. find the two numbers
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Let x=Larger ; y=Smaller
1st condition:x%2By=15
2nd condition: 3y-1=x------> subst. in 1st condtn.
3y-1%2By=15
4y=15%2B1=16
cross%284%29y%2Fcross%284%29=cross%2816%294%2Fcross%284%29
highlight%28y=4%29, Smaller Number
In Condtn 1:
x%2B4=15
x=15-4=highlight%2811%29, Larger number
Check via condtn 2:
3%2A4-1=11
12-1=11
11=11
Thank you,
Jojo