# The sum of two numbers is 40. One third of the larger number equals the smaller number. What are the numbers

2
by Docjolbj

2014-11-17T21:37:01+08:00

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The answer is 30 and 10. 30 the larger number and its one third is 10. 30 + 10 = 40
Can you please show the algebraic equation in solving the problem?
2014-11-17T21:48:09+08:00

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Let:
x=larger
y=smaller

x+y=40
1/3x=y

Use substitution:
x+1/3x=40
1 1/3x=40
x=30.08

1/3x=y
1/3(30.08)=y
y=10.13