SOLUTION: The sum of two numbers is 15. Three times one of the number is 11 less than 5 times the other. Find the number.

Question 914188: The sum of two numbers is 15. Three times one of the number is 11 less than 5 times the other. Find the number.
Answer by fave(7) (Show Source): You can put this solution on YOUR website!
let a and b represent the numbers
a+b=15 from the first statement
3a=5b-11 from the second statement
make b the subject of formular in the first equation
b=15-a
substitute b into the second equation
3a=5(15-a)-11
3a=75-5a-11
3a=64-5a
3a+5a=64
a=8
from the first equation,a+b=15,so b=15-8=7
the numbers are 8 and 7
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