Question

A number consists of two digits whose sum is 8. If 18 is added to the number its digits are
reversed. Find the number.​

Answer 1

Step-by-step explanation:

the digits are x ,8-x

10 x +8- x + 18 = 80-10 x + x

9x+ 26 = 80-10 x + x

9 x + 9 x= 80-26

18x = 54

x= 54÷ 18

x= 3

digit 3 ,8-3=5

number = 35

Answer 2

Step 1 - Let the first no. be x and the second be

8 - x because x + _ = 8 =. _= 8 - x

Step 2 - Therefore our no. formed is 10× x= 10 x + 8 - x = 10x - x +8 = 9 x +8

Step 3 - If the digits are reversed =

Then our no. is 10 × (8-x) + x =. 80- 10x + x=

80 - 9x

Step 4-ATQ----

9 x +8 + 18 = 80 - 9x

9x+9x = 80 - 18 - 8

18x = 54

x= 54 ÷ 18

x = 3

Step 4--

( put in the values)

x= 4 8- x = 8-3= 5

Therefore our actual no. is 35

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