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The sum of two natural number is 9 and the sum of their recipocal is 1/2 ? Find the numbers

Posted by Rahul Das 5 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Tapish Sharma 5 years, 2 months ago

ANSWER ⇒ Let one number be x, then other number will be 9−x According to the question, ⇒ x1+9−x1=21 ⇒ x(9−x)9−x+x=21 ⇒ 9x−x29=21 ⇒ 2(9)=9x−x2 ⇒ 18−=9x−x2 ⇒ x2−9x+18=0 ⇒ x2−6x−3x+18=0 ⇒ x(x−6)−3(x−6)=0$ ⇒ (x−6)(x−3)=0 ⇒ x−6=0 and x−3=0 ∴ x=6 and x=3 ⇒ One number is 6 and other number is 3 ⇒ The sum of squares of the numbers =(6)2+(3)2=36+9=45

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