When 9 is subtracted from a two digit number, the number so formed is reverse of the original number. Also, the average of the digits of the original number is 7.5. What is definitely the original number ?

When 9 is subtracted from a two digit number, the number so formed is reverse of the original number. Also, the average of the digits of the original number is 7.5. What is definitely the original number ?
1). 87
2). 92
3). 90
4). 69

IBPS Books

1 answers

Other Questions

1. Which of the phrases at a:, b:, c: and d: given below the sentence should replace the phrase printed in bold in the sentence to make it grammatically correct ?

2. Which among the following is not a hardware?

3. Davis Cup is associated with the game of

4. What should come in place of the question mark (?) in the following question ?

5. In each of the following questions there is a sentence with a pair of blank spaces, followed by five pair of words. Choose the pair that can fill up the blanks in the same order. The number of that pair is your answer.

6. Which of the following Indian Actress has recently (october, 2013 been honoured at the British House of Commons for her contribution to the global entertainment industry?

7. Which of the phrases a:, b:, c: and d: given below each statement should be placed in the blank space provided so as to make a meaningful and grammatically correct sentence ? If none of the sentences is appropriate, mark e: as the answer.

8. Which of the following is/are the reasons owing to which about 105 million new people are added in the listof hungry people and the total number of the same has reached to about 1 billion ?(A) Unprecedented increase in food prices, particularly in poor nations.(B) Cut in the supply of food grains to poor nations by many European countries.(C) Sudden increase in population of the countries like Uganda, Ethiopia, Sudan and Namibia etc. as manyrefugees have taken shelter there.

9. The target group for a Car Loan is -

10. Study the following arrangement carefully and answer the question given below:M,D,K,R,T,H,W and A are sitting around a circle facing the centre D is second to the right of M who is fifth to the left of T.K is third to the right of R who is second to the right of D H is second to the right of W.

Guest · Accepted Answer · 2019-05-22 11:53:29

Solution

Let the ten's digit and unit's digit of the original number be $x$ and $y$ respectively.

=> original number = $10x + y$

Average of digits = $\frac{x + y}{2} = 7.5$

=> $x + y = 7.5 \times 2 = 15$ -------------(i)

When 9 is subtracted from it, => Reverse number = $10y + x$

=> $(10x + y) - 9 = 10y + x$

=> $9x - 9y = 9$

=> $x - y = \frac{9}{9} = 1$ ----------------(ii)

Adding equations (i) & (ii), we get :

=> $2x = 16$ => $x = \frac{16}{2} = 8$

Putting it in eqn(i), => $y = 15 - 8 = 7$

$\therefore$ Original number = $87$

When 9 is subtracted from a two digit number, the number so formed is reverse of the original number. Also, the average of the digits of the original number is 7.5. What is definitely the original number ?

1 answers

Other Questions

General Knowledge Questions

English Language and Comprehension

Quantitative Aptitude

ExamCompetition 2015-2021