Question

A number is three times the sum of its digits. find the number​

Answer 1

Answer:

One such number is 27

Step-by-step explanation:

Let x be the number

Let a, b, c, etc, be the 1st (units), 2nd (tens), 3rd (hundred), etc digits of the number.

Then (a + 10b + 100c + ...) = x

and

3 × (a + b + c + ...) = x

For simplicity, let us assume that the number of digits is 2.

So, a + 10b = x ---- (1)

and

3 × (a + b) = x

3a + 3b = x ----(2)

Comparing (1) and (2)

3a + 3b = a + 10b

2a = 7b

a = 3.5b

Let b = 2, a =7

The number = a + 10b = 7 + 20 = 27

Sum of the digits = 2 + 7 = 9

Thus, the number is 3 times the sum of the digits.