Question

The difference between square of two consecutive numbers is 33, then find the greater number and the smaller number.
1. 16 and 15
2. 17 and 16
3. 17 and 15
4. 18 and 16

Answer 1

Correct Answer - Option 2 : 17 and 16

Given:

Difference between the square of two consecutive numbers = 33

Concept used:

If the difference between the square of two consecutive numbers is N, then the greater number is (N + 1)/2 and the smaller number is (N - 1)/2.

Calculation:

As we know that, N= 33

Greater Number = (N + 1)/2

⇒ (33 + 1)/2

⇒ 17

Smaller Number = (N - 1)/2

⇒ (33 - 1)/2

⇒ 16

∴ The Greater number is 17 and the smaller number is 16.