sum of 2 digit number is 9 .when we inter change the digits ,it is found that resulting new numberis greater than the original number by 27 what is yhe 2 digit number im

Asked by shivaniashuglass | 28th Aug, 2020, 05:12: PM

Expert Answer:

 
Let the digit at the ten's place x  → digit at the unit place = 9 - x
Required two digit number = 10x + 9 - x = 9x + 9
According to the condition,
 
10(9 - x) + x =  9x + 9 + 27
→ 90 - 10x + x= 9x + 36
→ 90 - 9x  = 9x + 36
→ 18x = 54
→     x = 3
 Required two digit number = 9(3) + 9 = 36

Answered by Yasmeen Khan | 28th Aug, 2020, 07:01: PM