Question

sum of a two digit number is 9 when we interchange it is found out that the resulting new number is greater than 27. ( find out the answer in one variable)​

Answer 1

Answer:

the answer is 36

Step-by-step explanation:

Let the unit place digit of a two-digit number be x.

Therefore, the tens place digit = 9-x

∵ 2-digit number = 10 x tens place digit + unit place digit

∴ Original number = 10(9-x)+x

According to the question, New number

= Original number + 27

10x+(9-x)= 10 (9-x)+x+27

10+9-x=90-10x+x+27⇒10+9−x=90−10x+x+27

9x+9=117-9x⇒9x+9=117−9x

9x+9x=117-9⇒9x+9x=117−9

18x=108⇒18x=108

Hence, the 2-digit number = 10(9-x)+x = 10(9-6)+6 = 10 x 3 + 6 = 30 + 6 = 36