Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

S(M) denotes the sum of the digits of a positive integer M written in base 10.Let N be the smallest positive integer such that S(N)=2013, then find S(5N+2013)=? Example: S(201)=2+0+1=3

S(M) denotes the sum of the digits of a positive integer M written in base 10.Let N be the smallest positive integer such that 
S(N)=2013,
then find S(5N+2013)=?
Example:
S(201)=2+0+1=3

Grade:9

4 Answers

Anoopam Mishra
126 Points
6 years ago
17
dinesh
22 Points
6 years ago
hey it is 27
 
Anmol Agarwal
10 Points
6 years ago
Answer is 18
Answer is 18

Explanation :

Given that

S(M) denotes the sum of the digits of a positive integer M written in base of 10.

Let N be the smallest positive integer such that S(N)=n.

Now observe that 9 as an individual contributes more to n.

So, the number N will be as follows

N=(nmod9)first digit999999remaining n/9 digits

Now it is given that S(N)=2013

We know that 2013=6+9223

            N=(6)9999999223 times

5N=(34)99999222 times(5)

5N+2013=(34)99999222 times(5)+2013

5N+1023=(35)00000219 times(2008)

S(5N+1023)=3+5+2+0+0+8=18

Therefore required answer is 18.
SHANMUKESHWAR
461 Points
6 years ago
5+2+0+1+3+2+0+1+3=17
 

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free