Could someone answer and explain these ? you!

Answer 1:

It is given that the positive 2 digit number is 'x' with tens digit 't' and units digit 'u'.

So the two digit number x is expressed as,

The two digit number 'y' is obtained by reversing the digits of x.

So,

Now, the value of x-y is expressed as:

So, is equivalent to (x-y).

Answer 2:

It is given that the sum of infinite geometric series with first term 'a' and common ratio r<1 =

Since, the sum of the given infinite geometric series = 200

Therefore,

Since, r=0.15 (given)

a=170

The nth term of geometric series is given by .

So, second term of the series = = ar

Second term =

= 25.5

So, the second term of the geometric series is 25.5

Step-by-step explanation: