Question

in a two digit number, the digit in units place is twice less that in the tens place and if 2 is subtracted from the sum of the digits the difference is equal to 1/6 of the number. find the original number​.​

Answer 1

Answer:

Let the no. be

$10x \: + \: y$

$so (y) = 2x \\ that \: is \: 10x + 2x = 12x$

Sum of the digits:-

$2x + x = 3x$

According to the question:-

$3x - 2 = \frac{1}{6} \times 12x \\ = > 3x - 2 = 2x \\ = > 3x -2x = 2 \\ = > x = 2$

$so \: the \: no. \: is \: 12x = 12 \times 2 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = > 24$

Hope it helped ✌️ ✌️