Question

(2•3)x=(0•23)y =100=then find their 1/x-1/y

Answer 1

Answer:

1/x - 1/y = 0.0207

Explanation:

(2•3)x=(0•23)y =100 [given]

=> 2.3x = 100

=> (23x)/10 = 100

=> x = 1000/23

=> 1/x = 23/1000 ----(1)

0.23y = 100

=> 23y/100 = 100

=> y = 10000/23

=> 1/y = 23/10000 ----(2)

Now ,

1/x - 1/y

= 23/1000 - 23/10000

= 23[ 1/1000 - 1/10000 ]

= 23 [ (10-1)/10000 ]

= (23 × 9 )/10000

= 207/10000

= 0.0207

Therefore,

1/x - 1/y = 0.0207

••••