What number should be added to each of the number 3,5,13and 19 so that the resulting number may be in proportion
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Answer:
Let the number be x
I suppose that the meaning of the question could be explained by this equation.
3+x5+x=13+x19+x
By doing criss-cross
(3+x)×(19+x)=(5+x)×(13+x)
57+22x+x2=65+18x+x2
Get the like terms together
22x−18x+x2−x2=65–57
Simplify
4x=8
x=2
Let's check our answer.
3+2=5 5+2=7 13+2=15 19+2=21
15/21 = 5/7
The answer is 2
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