Question

A two digit number when multiplied by 3 equals the square of the sum of its digits.If three times the sum of the digits is equal to the number itself,then find the number.

Answer 1

Answer :

Let two digit number = x
And sum of its two digits = y

So,
According to first condition we get

3x = y² ----------------------- ( 1 )

And
from second condition we get

3y = x ----------------------- ( 2 )

Substitute value of x from equation 2 to equation 1 , and get

3 ( 3y ) = y²

9y = y²

y = 9 ( Substitute that value in equation 2 and get )

x = 3 ( 9 )

x = 27
So,
That two digit number = 27 ( Ans )