Question

a natural number when increased by 12 becomes equal to 160 times the reciprocal of given natural number . find the number

Answer 1

let natural number=x

Answer 2

reciprocal=1/x

Answer 3

inc by 12
x+12=160*(1/x)

Answer 4

but then isn't it x+12

Answer 5

soo.. the equation would be
say the natural number be 'x'

x + 12 = 160/x...

Answer 6

multiply both side by x

Answer 7

can u solve further ??

Answer 8

x(x+12)=160

Answer 9

Q says after increment it equals to 160 time the reciprocal of number and 1/x is reciprocal of the number

Answer 10

x^2+12x-160=0

Answer 11

so rhs is 160/x or 160/x+12?

Answer 12

x^2+20x-8x-160=0
solve it now

Answer 13

when we add 12 to x
x+12
it become equal to 160*(1/x)
x+12=160/x

Answer 14

ok ill try from here

thanks

Answer 15

is the answer x=8 and x+12=20

Answer 16

??

Answer 17

x2 + 12x - 160 = 0
x2 + 20x - 8x - 160 = 0

(x+20) (x-8)= 0

x = -20 and x = 8