Question

a number consists of two digits whose sum is 8. if 54 is added to the number , the digits are reversed . find the number.

solve it properly with sum ​

Answer 1

Let one digit of the number be x , then its ten  digits digits will be (8−x) .  

So , given number = 10 (8−x) + x  

                                = 80 − 10x + x  

                                = 80 − 9x

Now if digits are reversed, then number obtained  

                                 = 10x + (8−x)

                                 = 10x + 8−x

                                 = 9x + 8

According to question  

       (80 − 9x) + 54 = 9x + 8

        134 − 9x = 9x + 8  

        126 = 18x

         x = 7

⇒ Given number = 80 − 9x

                             = 80 − 9 × 7      

                              = 80 − 63  

                               = 17          

∴ The number is 17

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