Question

number has two digits. The digit at tens place is four times the digit at units place. If 54 is subtracted from the number, the digits are reversed. Find the number.​

Answer 1

Answer:

The number is 82

Step-by-step explanation:

let the digits be 'x' and 'y',

and the number be x × 10+ y.

It is given that ,x = 4y

and [(x × 10)+y]- 54= (y ×10)+x

giving x=4y we get,

[(4y×10)+y] - 54= (y×10)+4y

⇒[40y+y] - 54= 10y + 4y

⇒41y - 54 = 14y

⇒41y - 14y = 54

⇒27y = 54

⇒y = 54÷ 27

⇒y = 2

x= 4y

x= 4×2

x=8

∴ the number is 82

hope this helps :)