Question

Mahesh is 45 years older to his son Suresh. Both their present ages comprise prime numbers as digits and Maheshs age is reverse of Sureshs age. What are their ages?

Answer 1

Answer:
Let Mahesh age = x
And Suresh age = y
And given
x = y + 45 ------------------( 1 )
And
x And y are co-prime numbers .

Now
Mahesh age is reverse of Suresh age
So
If y = 10 So x = 01
But these values can't satisfied our equation 1
If y = 12 so , x = 21
But these values can't satisfied our equation 1
If y = 13 So, x = 31
But these values can't satisfied our equation 1
If y = 14 So, x = 41
But these values can't satisfied our equation 1
If y = 15 So ,x = 51
But these values can't satisfied our equation 1
If y = 16 So , x = 61

These values satisfied our equation 1 As:

61 = 16 + 45
61 = 61 ( Satisfied )
And
16 = 2 $\times$ 2 $\times$ 2 $\times$ 2
61 = 61
Hence 16 And 61 are Co-prime numbers

So these are satisfied both our conditions

So,
Age of Mahesh = 61 years And age of Suresh = 16 Years ( Ans )