Question

A number has two digits. The digit at tens place is four times the digit at unit place. If 54 is subtracted from the number, the digits are reversed . find the number

Answer 1

unit place digit=x
then,tens digit number=4x
suppose,x=2
then,
4x=8

then, two digit number is =82.
now,subtract 54 from 82.
we get 28.
28 is reversed number of 82.


so ,the number is 82.

I hope this is right answer.

Answer 2

• ACCORDING TO THE QUESTION :-

x = 3y ... eq. 01

• According to the second condition :

10x + y - 54 = 10y + x

=> 9x - 9y = 54

=> 9(x - y) = 9 × 6

=> x - y = 6 ... eq.02

• Now we can solve the Equation 01 and 02 by substitution Method :-

x - y = 6

=> 3y - y = 6 [ from eq.01 , x = 3y ]

=> 2y = 6

=> y = 3

• Now we can substitute the value of y in eq. 01 to get value of x

x = 3y

=> x = 3 × 3

=> x = 9

Hence the number is

Hence the number is 10x + y = 90 + 3 = 93