Question

A two digit number is seven times the sum sum of its digits. The number formed by reversing the digits is 18 less than the given number. Find the given number

Answer 1

➡HERE IS YOUR ANSWER⬇

Let, the digits are x and y.

Then the number is (10x + y).

Sum of the digits is (x + y).

When the digits are reversed, the number be (10y + x).

Given that :

10x + y = 7(x + y)

or, 3x = 6y

or, x = 2y .....(i)

and

10y + x = (10x + y) - 18

or, 9y = 9x - 18

or, y = x - 2

or, y = 2y - 2, by (i)

or, y = 2.

So, x = 4.

Hence, the number is = 42.

⬆HOPE THIS HELPS YOU⬅