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The sum of two numbers is 208. One-third of the greatest number equals the smaller number. What is the numbers?

2 Answers

4 votes

Answer:

The answers are 52 and 156.

Explanation:

User Lbottoni
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2 votes

Answer:

52 and 156

Explanation:

Set up system of equations: x+y=208, 1/3(x)=y

plug in 1/3(x) for y: x+ 1/3(x) = 208 so 4/3(x) = 208

divide by 4/3 on both sides: x=156

plug x into original equation: 156+y=208

subtract 156 from both sides: y=52

User Taymon
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