Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

Sum of two digits of a 2-digit number is 9. When 27 is subtracted from the number, it is found that the digits have interchanged t

Home/Math/Sum of two digits of a 2-digit number is 9. When 27 is subtracted from the number, it is found that the digits have interchanged t

Sum of two digits of a 2-digit number is 9. When 27 is subtracted from the number, it is found that the digits have interchanged t

Question

Sum of two digits of a 2-digit number is 9. When 27 is subtracted from the number, it is found that the digits have interchanged their position. Find the number.

## Answers ( )

Answer:Step 1 :Let the unit’s digit be x

Step 2 :Then, ten’s digit = (9 – x)

∴ Number = 10 × (9 – x) + x

⇒ 90 – 10x + x = (90 – 9x)

Step 3 :Adding 27 to the number 90 – 9x, we get 117 – 9x

Step 4 :Number with digits interchanged is 10x + (9 – x) = 9x + 9

Step 5 :117 – 9x = 9x + 9

Step 6 :Therefore unit’s digit = 6 and ten’s digit = 3

Step 7 :Hence the number = 36.

Step-by-step explanation:hope it is hepful for you, have a nice day

it’s the answer

plz mark me as brainliest