Topics

General Knowledge
General Science
General English
Aptitude
General Computer Science
General Intellingence and Reasoning
Current Affairs
Exams
Elementary Mathematics
English Literature

The number obtained by interchanging the digits of a two-digit number is more than the original number by 27 and the sum of the digits is 13. What is the original number?

A) 58
B) 67
C) 76
D) 85

Correct Answer:

A) 58

Description for Correct answer:

Let the ten's-digit = x and unit's digit = Y

Therefore, The original number = 10x + y

After interchanging the digits

New number = 10y + x

Now, according to the question,

\( \Large \left(10y + x\right) - \left(10x + y\right) = 27 \)

=> 9y - 9 x = 27

=> y - x = 3 ...(i)

and y + x = 13 ...(ii)

On solving Eqs. (i) and (ii), we get

7 = 8 and x = 5

Therefore, Required number

\( \Large = 10 \times 5 + 8 = 58 \)

Part of solved Simplification questions and answers : >> Elementary Mathematics >> Simplification

Comments

Similar Questions

1). 0f three positive numbers the product of the first and second is 42, that of the second and third is 56 and that of third and first is 48. The third number is

A). 12

B). 6

C). 7

D). 8

2). It is required to get 40% marks to qualify an exam. A candidate scored 200 marks and failed by 8 marks. What were the maximum marks of that exam?

A). 520

B). 540

C). 502

D). Couldn't be determined

3). Bus fare between Raipur and Mirpur for one adult is six times the fare for one child. If an adult's bus fare is Rs.114, how much amount will be paid by 4 adults and 5 children together for travelling the same distance?

A). Rs.505

B). Rs.551

C). Rs.572

D). Rs.560

4). The total cost of 12 pens and 5 pencils is equal to Rs.111. Also, the cost of 1 pencil is Rs.5 less than the cost of 1 pen. What will be the cost of 8 pens and 9 pencils?

A). Rs.89

B). Rs.97

C). Rs.91

D). Rs.78

5). \( \Large \left(12.999\right)^{3} \) = ?

A). 1800

B). 1650

C). 2000

D). 2200

6). \( \Large 50550 \div 50 \div 5 \) = ?

A). 350

B). 150

C). 300

D). 202

7). \( \Large 49.0003 \div 74.999 \) = ?

A). 0.05

B). 0.2

C). 1

D). 0.7

8). \( \Large 23.003 \times 22.998 + 100.010 \) = ?

A). 630

B). 550

C). 700

D). 720

9). \( \Large 125.009 + 69.999 + 104.989 \) = ?

A). 420

B). 300

C). 285

D). 415

10). \( \Large 16.003 \times 27.998 -209.010 \) = ?

A). 150

B). 200

C). 75

D). 240