Question

the sum of two numbers is 15 and the sum of their squares is 113 find the numbers​

Answer 1

Answer:

Let the numbers be x and (15 - x).

Then,x2+(15−x)2=113?

=> x2+225+x2−30x=113

=> 2x2−30x+112=0

=> x2−15x+56=0

=> (x - 7) (x - 8) = 0

=> x = 7 or x = 8.

So, the numbers are 7 and 8.

Answer 2

15=

1+14

2+13

3+12

4+11

5+10

6+9

7+8

7²+8²=113

answer=7+8