SOLUTION: the larger of two numbers is less than six times the smaller. when the smaller number is subtracted from the larger, the difference is 13. find the two numbers
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Question 798829: the larger of two numbers is less than six times the smaller. when the smaller number is subtracted from the larger, the difference is 13. find the two numbers
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the larger of two numbers is less than six times the smaller.
a < 6b
when the smaller number is subtracted from the larger, the difference is 13.
a - b = 13
a = (b+13)
:
find the two numbers
In the first equation, replace a with (b+13)
b + 13 < 6b
13 < 6b - b
13 < 5b
divide both sides by 5
2.6 < b
Lets say b = 3
then
a = 3 + 13
a = 16
:
a = 16, b = 3
:
Check in the first equation
16 < 6(3)
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