Question

the sum of a two digit number and the number obtioned revsing the digit s is 66f the digits of the number differ by 2 find number how many true number are there? ​

Answer 1

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Answer 2

Answer: 24 or 42

Step-by-step explanation:

Let x and y be the digits at the tenth place and units place respectively; (x>y)

Now,

x-y = 2 .... (1)

10x+y + 10y+x = 66  ==> 11x+11y = 66 ==> 11(x+y) = 66 ==> x+y =6

Now we have,

x+y =6 and x-y =2

By Elimination,

    x + y =   6

 -x -(-)  y = - 2

(x will get cancelled)

2y = 4

y = 2

And,

x = 4