Question

the digits of a two digit number differ by 3.If the digits r interchanged & the resulting number is added to the original number ,we get 143. What can be the original number?


whoever knows they only give the ansss.. plsss

Answer 1

Hi there !!
Here's your answer

Given,
the digits of a two digit number differ by 3

Let the digit in units place be x
Digit in tens place = x + 3

The new number is 10(x+3) + x
= 10x + 30 + x
= 11x + 30 ______(i)

Also,
If the digits are interchanged & the resulting number is added to the original number ,we get 143

By interchanging the digits,
we have,
digit in units place = x + 3
digit in tens place = x
The new number is 10(x) + x + 3
= 10x + x + 3
= 11x + 3 ______(ii)

So
The following balanced equation will be formed

11x + 30 + 11x + 3 = 143

22x + 33 = 143

22x = 143 - 33

22x = 110

x = 110/22

x = 5


So,
Digit in units place = x = 5
Digit in tens place = x + 3 = 5 + 3 = 8


The number is 85 or 58