Question

If the sum of two number is 56 and their product is 775,find the absloure differnece between thr numbers?

Answer 1

6

Step-by-step explanation:6

Answer 2

Answer:

Absolute Difference = 6

Step-by-step explanation:

Let the two numbers be x and y

Sum of two numbers is given to be 56

⇒ x + y = 56

⇒ y = 56 - x  ...........(1)

Product of the two numbers is given to be 775

⇒ x·y = 775

Putting value of y from equation (1)

⇒ x(56 - x) = 775

⇒ x² - 56x + 775 = 0

⇒ x = 25 or x = 31

So, one number = 25 and other number = 31

Absolute Difference = | x - y |

                                   = | 25 - 31 |

                                   = | -6 |

                                   = 6