Question

The sum of two digit number and the number obtained by reversing its digit is always divisible by number and the quotient is the sum of its digits

Answer 1

Answer:

Step-by-step explanation:

Let two digit number be …. ab and on reversing the number it will be …ba

their values in the number system are 10a+b and 10b+a

adding these two numbers = 10a+b + 10b+a = 11(a+b)

This 11(a+b) is a square number.

to make it a square number a+b should 11.

Hence, poosible values for a,b are (2,9), (3,8), (4,7), (5,6) ,,(9,2), (8,3), (7,4), (6,5)

finally 8 such numbers are there…. 29,38,47,56,92,83,74,65.