Question

the difference between two number is 5 and difference in thrie squares is 65 . find the larger number.?​

Answer 1

Answer:-

Let the first number be a and second number be b.

Given:

Difference between the numbers = 5

→ a - b = 5 -- equation (1)

Difference between their squares = 65

→ a² - b² = 65

Using a² - b² = (a + b)(a - b) we get,

→ (a + b)(a - b) = 65

Substitute values from equation (1).

→ a + b = 65/5

→ a + b = 13 -- equation (2)

Add equations (1) & (2).

→ a - b + a + b = 5 + 13

→ 2a = 18

→ a = 18/2

→ a = 9

Substitute the value of a in equation (1).

→ 9 - b = 5

→ 9 - 5 = b

→ 4 = b

Hence, the larger number of the two numbers is 9.