SOLUTION: The ratio of two numbers R and T is 7:2, and their sum is 261. Find the numbers.

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Question 951161: The ratio of two numbers R and T is 7:2, and their sum is 261. Find the numbers.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

if the ratio of two numbers R and T is 7%3A2,then

R%2FT=7%2F2.....solve for R
R=%287%2F2%29T....eq.1
and if their sum is 261, we have
R%2BT=261....eq.2....substitute R from eq.1
%287%2F2%29T%2BT=261....solve for T
7T%2F2%2B2T%2F2=261
9T%2F2=261
9T=261%2A2
9T=522
T=522%2F9
T=58
go to eq.1 and plug in T and solve for R
R=%287%2F2%2958....eq.1
R=%287%2Fcross%282%29%29cross%2858%2929
R=7%2A29
R=203