Question

If the sum of two consecutive numbers of reciprocal of 12 upon 35 find those numbers

Answer 1

Answer:

Let the numbers be x and x+2

Thus,

x

1

+

(x+2)

1

=

35

12

35(x+2)+35x=12x(x+2)

12x

2

−46x+70=0

6x

2

−23x+35=0

(6x+7)(x−5)=0

x=−

6

7

x=5

Since x is an integer so, x=5

Therefoe numbers are 5 and 7

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