SOLUTION: Two numbers are in the ratio 3:7. Two fifths of their sum is 32. Find the numbers.

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Question 264997: Two numbers are in the ratio 3:7. Two fifths of their sum is 32. Find the numbers.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Two numbers are in the ratio 3:7.
Two fifths of their sum is 32.
Find the numbers.
:
Let x = the multiplier
then
3x = one number
and
7x = the other number
:
"Two fifths of their sum is 32."
2%2F5(3x + 7x) = 32
:
2%2F5(10x) = 32
:
4x = 32
x = 32%2F4
x = 8 is the multiplier
:
3(8) = 24 is one number
7(8) = 56 is the other number
;
:
Is this true?
2%2F5(24 + 56) =
2%2F5(80) = 32, it is.