Question

if two numbers are in the ratio of 2:3 if 2 is the digit at units place and 3 at tens place. if you add 27 to it the digits interchange

Answer 1

hii mate!!

Let the digits of number be x and y, with x being tens digit and y the other.

So, our number is= 10x + y

Now, we are given the ratio

x/y = 2/3

Now, 27 is added to number and number reverses digits,so

10x + y + 27 = 10y + x

9x - 9y = -27....(1)

Now, we know x/y = 2/3

or we can say 3x = 2y

or, 9x = 6y....(2)

Putting this value in (1) we get

6y - 9y = -27

-3y = -27

y = 9

So, x = 2/3 * y = 2/3 * 9 = 6

Our number is 69

hope it helps !!☺☺☺☺