SOLUTION: Consider the number 3, 4, 5, and 7. If the same number is added to each of the numbers, it is found that the ratio of the first new number to the second is the same as the ratio of
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-> SOLUTION: Consider the number 3, 4, 5, and 7. If the same number is added to each of the numbers, it is found that the ratio of the first new number to the second is the same as the ratio of
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Question 805956: Consider the number 3, 4, 5, and 7. If the same number is added to each of the numbers, it is found that the ratio of the first new number to the second is the same as the ratio of the third new number to the fourth. What is the number? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Consider the number 3, 4, 5, and 7.
If the same number is added to each of the numbers, it is found that the ratio of the first new number to the second is the same as the ratio of the third new number to the fourth.
What is the number?
:
Let x = the number
: =
Cross multiply
(x+3)(x+7) = (x+4)(x+5)
FOIL
x^2 + 10x + 21 = x^2 + 9x + 20
subtract x^2 from both sides, combine the x's on the left
10x - 9x = 20 - 21
x = -1 is the number that does this
:
:
See if that works; subtract 1 from each number =
