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The sum of the digits of a two-digit num...

The sum of the digits of a two-digit number is 12. if 18 is subtracted from the number, then the digits interchange their places. Find the number. The following steps are involved in solving the above problem. Arrange them in sequential order.
(A) Units digits is 5, tens digit is 7, and the number is 75.
(B) Given that `120-9x-18=9x+12rArr90=18xrArrx=5`.
(C) The number formed by interchanging the digits is `10x+(12-x)=9x+12`.
(D) Let the digit in the units place be x. Then the digit in the tens place be `(12-x). therefore` The number is `10(12-x)+x=120-10x+x=120-9x`.

A

ABCD

B

DCBA

C

DCBA

D

DABC

Text Solution

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The correct Answer is:
B
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The sum of the digits of a two-digit number is 11. if 9 is subtracted from the number, then the digits interchagne their places. Find the number. The following steps are involved in solving the above problem. Arrange them in sequential order (A) Let the units digit be x. therefore , the tens digit is (11-x). therefore The number is 10(11-x)+x=110-9x . (B) Given that 110-9x-9=9x+11rArrx=5 . (C) Units digit is S and tens digit is 6 and the required number is 65. (D) The number formed by interchanging the digits is 10x+(11-x)=9x+11 .