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The difference of two nutural number is 5 and the difference of their reciprocal is 110. Find the numbers

Posted by Kumuda S 7 years, 8 months ago

CBSE > Class 10 > Mathematics

2 answers

Suman Sinharoy 7 years, 8 months ago

Let the two numbers be x and y. (x > y)

x - y = 5 ---------(i)

1/y - 1/x = 110 --------- (ii)

or, (x - y)/xy 110

but x - y = 5 so xy = 1/22 or 4xy = 2/11

(x + y)² = (x - y)² + 4xy = 5² + 2/11 = 277/11

or, x + y = {tex}squareroot 277/11{/tex} -----------(iii)

on adding (i) and (iii) x = 5/2 + sqroot 277/11

on putting the value of x in (i) y = 5/2 - sqroot277/11

1Thank You

Nishu Nishu 7 years, 8 months ago

x-y=5 (1÷y)-(1÷x)=110

0Thank You

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