the difference of 2 digit number is 2 if the digits are interchanging and resulting number is added to original number we get 110. find original number
Answers
Answered by
3
Let the unit place digit of a two-digit number be x.
Therefore, the tens place digit = 3x.
\because∵ 2-digit number = 10 x tens place digit + unit place digit
\therefore∴ Original number = 10\times3x+x=30x+x=31x10×3x+x=30x+x=31x
According to the question, New number + Original number = 88
\Rightarrow10x+3x+31x=88⇒10x+3x+31x=88
\Rightarrow\ 44x=88⇒ 44x=88
\Rightarrow\ x=\ \frac{88}{44}=2⇒ x=
44
88
=2
Hence, the 2-digit number = 31x=31\times2=6231x=31×2=62.
Similar questions