What same number should be added to each of the numbers 2 7 10 25 so that they may be in proportion?
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Answered by
30
Answer: 2 is to be added to each no.
Step-by-step explanation:
Let the no. Be x
(2+x):(7+x)::(10+x):(25+x)
Product of mean = product of extreme
=(7+x)(10+x)=(2+x)(25+x)
=70+7x+10x+x^2=(50+2x+25x+x^2 )
=70 +17x+x^2 =50+27x+x^2
20=10 x
X=20/10=2
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Answered by
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Given; the same number should be added to each of the numbers 2 7 10 25
To Find; The number should be added so that may be a proportion
Solution; the same number should be added to each of the numbers 2 7 10 25
Let the number that should be added be c, So the numbers will become 2+c, 7+c, 10+c, 25+c
According to question
2+c/7+c=10+c/25+c
(2+c)(25+c)=(10+c)(7+c)
50+27c=70+17c
c=2
Hence the number that should be added is 2
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