Math, asked by AkshatNasa9938, 10 months ago

What same number should be added to each of the numbers 2 7 10 25 so that they may be in proportion?

Answers

Answered by yogitagautam14
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 halamadrid
4

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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