Question

The sum of the digits of 2- digit number is 12 . Thr number is 6 times the unite digit. Find the number

Answer 1

Question:

The sum of the digits of 2- digit number is 12 . Thr number is 6 times the unite digit. Find the number.

To Find:

• The number.

Solution:

Let assume number at tens place = x

And number at units place = y

So number = 10x + y

Given,

that sum of two digits is 12

$\implies \: x + y = 12$

$\implies \: y = 12 - x........(1)$

Also given number is 6 times the unit digit

$\implies \: 10x + y = 6y$

$\implies \: 10x - 5y = 0$

$\implies \: 2x - y = 0..........(2)$

Substituting value of x from equation (1) in equation (2) we get,

$\implies \: 2x - (12 - x) = 0$

$\implies \: 3x = 12$

$\implies \: x = 4$

From (2)

$\implies \: y = 12 - x$

$\implies \: 12 - 4 + 8$

$\implies \: 48$

Hence,

required number is $10x - 4 + 8 = 48.$