SOLUTION: the sum of two numbers subtracted from twice the bigger number result is 5 if the smaller number of the two is decreased five times, it would be the same as 11 more than twice the

Question 1014016: the sum of two numbers subtracted from twice the bigger number result is 5 if the smaller number of the two is decreased five times, it would be the same as 11 more than twice the bigger number. What are the number
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a = the larger number
b = the smaller
:
write an equation for each statement
:
the sum of two numbers subtracted from twice the bigger number result is 5
2a - (a+b) = 5
2a - a - b = 5
a = b + 5
:
if the smaller number of the two is decreased five times, it would be the same as 11 more than twice the bigger number.
Note: "I question the logic in this statement, decreasing the smaller number equals adding to and multiplying the larger number!!" come on!
:
Perhaps there is a typo in there somewhere. maybe "increased 5 times"
5b = 2a + 11
replace a with (b+5)
5b = 2(b+5) + 11
5b = 2b + 10 + 11
5b - 2b = 21
3b = 21
b = 21/3
b = 7
:
Find a
a = b + 5
a = 7 + 5
a = 12
:
What are the numbers; perhaps 12 and 7
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