SOLUTION: Ratio between two number is 2:3 and their sum is 420. The greater of two number is ?

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Question 838203: Ratio between two number is 2:3 and their sum is 420. The greater of two number is ?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A and B be the numbers.
A%2FB=2%2F3
1.3A=2B
and
A%2BB=420
Multiply eq. 2 by 3 and substitute from eq. 1,
3A%2B3B=1260
%282B%29%2B3B=1260
5B=1260
B=252
Then from eq. 1,
3A=2%28252%29
A=504%2F3
A=168