Question

The sum of the digits of a 2-digit number is 7.If the numbers are reversed,the new number increase by 3 less then 4 times the original number.Find the original number.

Answer 1

Answer:

16

Step-by-step explanation:

Let the unit place of original no. Be x and tenth place be tenth(7-x) or 10(7-x) or 70-10x

So the original no. will be 70-10x+x = 70-9x

After reversing let the unit place be (7-x) and tenth place be tenth(x) or 10x

So the reverse no. Will be 7-x+10x = 7+ 9x

So ATP,

{4(70-9x)}-3 = 7+9x

280 -36x -3 = 7+9x

277-36x = 7+9x

277-7 = 9x + 36x

270 = 45x

X= 270/45 = 6

So original no. Will be 70-9x = 70-9(6) = 70-54 = 16