Question

The tens digit of a two digit number is three times the units digit when the digits are reversed we get 36 less than the number find the original number

Answer 1

Answer:

The original number is 62.

Step-by-step explanation:

Let the two digit number be, 10x + y.

It is provided that:

x = 3y

10y + x = 10x + y - 36

9x - 9y = 36

x - y = 4...(i)

As x = 3y, substitute this in equation (i) and solve for y as follows:

x - y = 4

3y - y = 4

2y = 4

y = 2

Then the value of x is:

x = 3y

  = 3 × 2

  = 6

The number is:

10x + y = (10 × 6) + 2 = 60 + 2 = 62

Thus, the original number is 62.