The sum of two numbers is 30. Their product is 176. What are the two numbers.
Accepted Solution
A:
Answer:( x ,y ) = ( 8 , 22 ) ( x , y ) = ( 22 , 8 )Step-by-step explanation:Let 1st no. be x and second no. be y Given :- sum of the nos. is 30x + y = 30 ... ( i )also, their product is 176xy = 176 ... ( ii )putting value of x from ( i ) in ( ii )( 30 - y )y = 17630y - y² = 176 y² - 30y + 176 = 0y² - 22y - 8y + 176 = 0y ( y - 22 ) - 8 ( y - 22 ) = 0( y - 22 ) ( y - 8 ) = 0 • y - 22 = 0y = 22also, • y - 8 = 0y = 8So, for y = 22 , x = 30 - y = 8for ,y = 8 , x = 22