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The zum of two numbers is 16 and sum of their reciprocals is 1/3. Find the numbers

Posted by Manish Yadav 6 years, 11 months ago

CBSE > Class 10 > Mathematics

3 answers

Ram Kushwah 6 years, 11 months ago

Let one no. Is xthe other is 16-x

And 1/x + 1/(16-x)=1/3

3(16-x)+3x=x(16-x)

48-3x+3x=16x-x²

x²-16x+48=0

(x-12)(x-4)=0

X=12,4

So no. are 12 and 4

0Thank You

Honey ☺☺☺ 6 years, 11 months ago

12 and 4

0Thank You

Dev Singh Gehlot 6 years, 11 months ago

LET THE NUMBER BE X. AND Y. THE QUESTION SAYS THAT X+Y=16. AND THE OF THEIR RECIPROCAL IS 1/X+1/Y=1/3SO THE SECOND EQUATIO N IS. 3X+3Y=1

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CBSE > Class 10 > Mathematics