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Question
Consider a number 235, where last digit is the sum of first 
two digits i.e. 2 + 3 = 5. 

How many such 3-digit numbers are there?
 Question Submitted By :: Guest
I also faced this Question!!     Rank Answer Posted By  
 
  Re: Consider a number 235, where last digit is the sum of first two digits i.e. 2 + 3 = 5. How many such 3-digit numbers are there?
Answer
# 1
There are 45 different 3-digit numbers. 

The last digit can not be 0. 

If the last digit is 1, the only possible number is 101. 
(Note that 011 is not a 3-digit number) 

If the last digit is 2, the possible numbers are 202 and 
112. 

If the last digit is 3, the possible numbers are 303, 213 
and 123. 

If the last digit is 4, the possible numbers are 404, 314, 
224 and 134. 

If the last digit is 5, the possible numbers are 505, 415, 
325, 235 and 145. 

Note the pattern here - If the last digit is 1, there is 
only one number. If the last digit is 2, there are two 
numbers. If the last digit is 3, there are three numbers. 
If the last digit is 4, there are four numbers. If the last 
digit is 5, there are five numbers. And so on..... 

Thus, total numbers are 
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45 
 
Is This Answer Correct ?    3 Yes 1 No
Guest
 
  Re: Consider a number 235, where last digit is the sum of first two digits i.e. 2 + 3 = 5. How many such 3-digit numbers are there?
Answer
# 2
there are 81 numbers
 
Is This Answer Correct ?    1 Yes 0 No
Thirumurugan
 
 
 
  Re: Consider a number 235, where last digit is the sum of first two digits i.e. 2 + 3 = 5. How many such 3-digit numbers are there?
Answer
# 3
45 nos.
101 112 123 134 145 156 167 178 189 =9
202 213 224 235 246 257 268 279     =8
303 314 325 336 347 358 369         =7
404 415 426 437 448 459             =6
505 516 527 538 549                 =5
606 617 628 639                     =4
707 718 729                         =3
808 819                             =2
909                                 =1
                                    ___
Total                               =45
 
Is This Answer Correct ?    2 Yes 0 No
Viral Avalani
 

 
 
 
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