Question

The sum of the digits of a 2-digit number is 6. On reversing its digits the new number formed is 18 less than the original number. Find the original number

Answer 1

Answer:

Sum of digits of a two digit number is = 6

Possibilties = ( 1,5) (2,4) (3,3)

Given , on reversing the digits number formed is 18 less than original number

15 - 51 = 36

24 - 42 = 18

33 -33 = 0

So clearly the number is 24 (2,4)

Answer 2

Given : The sum of the digit of a 2- digit number is 6. On reversing its digits, the number is 18  less than the original number

To Find : the number

Solution:

Let say original number = AB

A + B = 6

Reversed number = BA

On reversing its digits, the number is 18 less than the original number

10B + A  = 10A + B - 18

=> 9(A - B)   = 18

=> A  -  B = 2

2A  = 8

=> A = 4

    B = 2

Number = 42

Verification :

4 + 2 = 6

24 = 42 - 18

42 is the number whose sum of the digit  is 6 and on  reversing its digits, the number is 18 less than the original number

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