The sum of two numbers is 19, and their product is 48. Find the difference between the two numbers.

x − f i rs t n u mb er y − seco n d n u mb er { x y = 48 x + y = 19 ​ { x y = 48 x = 19 − y ​ s u b s t i t u t i o n m e t h o d ( 19 − y ) y = 48 19 y − y 2 − 48 = 0 − y 2 + 19 y − 48 = 0 F a c t or i s a t i o n : − ( y 2 − 3 y − 16 y + 48 ) = 0 − ( y − 16 ) ( y − 3 ) = 0 y = 16 or y = 3 x = 3 or x = 16 N u mb ers a re : 3 an d 16.

Answered by luana | 2024-06-10

13
3+16=19 3*16=48 16-3=13

Answered by thekid100000 | 2024-06-10

The two numbers that sum to 19 and multiply to 48 are 3 and 16. The difference between these two numbers is 13.
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Answered by luana | 2025-03-07