Question

two natural numbers differ by 3.find the numbes if the sum of their resiprocal is 7/10​

Answer 1

let two number be x and y

x-y=3 equation1

1/x+1/y=7/10 equation2

but y=x+3

substitute in equation2

we get 7x^2+x+30

solving the quadratic equation

x=2 or -15/7

when x=2

then y=5

when x=-15/7

then y=6/7

therefore

x=2 y=5

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