Question

Let n be the largest integer which is the product of 3 distinct prime numbers x and y and 10x+y where x and y are digits. Find the sum of digits of n

Answer 1

When we consider n as largest integer number..

Then x,y must be a largest digits prime number ..and the value of x and y can be 7 and 3.

When we look at the (10x+y):

That's term can be largest prime number if x=7 and y=3;

Then (10x+y)=73;it's a prime number;

• {Note:: when we consider x=7 and y=5 Then (10x+y)=75;it's not a prime number;}

According to this question ,

n=x*y*(10x+y)

=7*3*(70+3)

=21*73

=1533;

Then sum of tha digits on n is =(1+5+3+3)=12;

So ,12 is the answer….