SOLUTION: The sum of two numbers is 55. Twice the smaller is 9 more than the bigger number. Find the bigger number.

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Question 828921: The sum of two numbers is 55. Twice the smaller is 9 more than the bigger number. Find the bigger number.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A and B be the two numbers.
1.A%2BB=55
and
2.2%2AA=9%2BB
From 2,
2%2AA=9%2BB
B=2%2AA-9
Substitute into 1,
A%2BB=55
A%2B%282A-9%29=55
3A-9=55
3A=64
highlight%28A=64%2F3%29
Then from 2,
B=2%2AA-9
B=2%2864%2F3%29-9
B=128%2F3-27%2F3
highlight%28B=101%2F3%29