The digits of a two-digit number differ by 3 .If the digits are interchanged and the resulting number is added to the original number we get 143 .What can be the original number?

# The digits of a two-digit number differ by 3 .If the digits are interchanged and the resulting number is added to the original number we get 143 .What can be the original number?

1. A
58
2. B
49
3. C
52
4. D
41

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

Concept- There are two places, ones and tens, when a number has two digits. Assume that the digit is always an x when solving questions, and then use the condition of the question to find more solutions.
Let x now be the digit in the tens place.
The answer would therefore be since the other digit is different by 3 in the question.
Tens placeOnce placeNumber Since we know that to make a two-digit number, we multiply the digit at the tens place by 10, then add it to the digit at the one place by multiplying by 1.
Consequently, the necessary number is .
Now, in accordance with the query, we swap the numbers, making the tens place equal to and the once place equal to x.
Number is the newly produced number.
New number is therefore .
The question now said that adding the previous and new numbers would result in the number 143.
put the value of ,
Required number is Hence, [31]the correct answer is option 1.

## Related content

 Area of Square Area of Isosceles Triangle Pythagoras Theorem Triangle Formula Perimeter of Triangle Formula Area Formulae Volume of Cone Formula Matrices and Determinants_mathematics Critical Points Solved Examples Type of relations_mathematics

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}