Question

the sum of the digits of a two digit number is 12 if the digits are reversed the new number is 7 upon 4 times the original number determine the original number​

Answer 1

Answer:

48

Step-by-step explanation:

Let x and y be the digits of the two digit number.

So the number is 10x + y.

Given,

x + y = 12 ---------------- [1]

10y + x  = 7/4(10x + y)

=> 40y + 4x = 70x  + 7y

=> 66x = 33y

=> 2x = y  -------------- [2]

Substitute [2] in [1]

x + y = 12

=> x + 2x = 12

=> 3x = 12

=> x = 4

=> y = 8.

Thus the original number is 48.