Question

The product of two number is 120 and the sum of their square is 289 the sum of the number is

Answer 1

Step-by-step explanation:

product of two numbers = 120

means a * b = 120 ------(1)

a² + b² = 289 ------(2)

a² + b² + 2ab = (a + b)²

289 + 240 = (a + b)²

(a + b)² = 529

a + b = 23 --------(3)

a² + b² - 2ab = (a - b)²

289 - 240 = (a - b)²

(a - b)² = 49

a - b = 7 --------(4)

सभी.(3) + (4) से -

2a = 30

a = 15

b = 23-15

b = 8