Question

Seven times a two-digit number is equal to four times the number obtained by reversing the digits. If the difference between the digits is 3. Find the number.

Answer 1

Answer:

hey mate your ans is 36...................

Answer 2

The number is 36

Step-by-step explanation:

Let x be the first digit and Y be the second digit of a two-digit number. The number will be 10x +y.

Given:

7(10x +y) = 4(10y +x)

66x - 33y = 0

Dividing by 11, we get 6x -3y = 0 -------------(1)

x - y = 3 -------------(2)

Subtracting (2)*3 from (1), we get: 3x = +9

Therefore x = +3

Substituting in x = 3 equation 1, we get 18 - 3y = 0

Therefore y = 18/3 = +6

Hence solved. x = 3, y = 6

So the number will be 10x + y = 30 + 6 = 36.