Correct Answer - Option 4 : 6
Given
Sum of the square = 169
Difference of numbers = 3
Formula / Concept used
Successor = number + 1
Calculation
⇒ Let the number be x, y such that x > y.
⇒ Then (x + y)2 = 169
⇒ Taking square root both sides
⇒ x + y = 13 ......(1)
⇒ And from given x - y = 3 ......(2)
⇒ On solving (1) and (2) we get x = 8 and y = 5
⇒ Clearly, 5 is the smaller
⇒ So, successor of 5 would be 5 + 1 = 6
∴ 6 is the feasible number