Question

Find 2 numbers whose product is 55 and whose sum is 16

Answer 1

Number 1 = x

Number 2 = y

First condition : xy = 55

Second condition: x + y = 16

Solve for "x"

x = 16 - 6

(16 - y)y = 55

16y - y^2 = 55

y^2 - 16y + 55 = 0

Factor

(y -11 )(y - 5 ) = 0

y - 11 = 0 y - 5 = 0

y = 11 y = 5

Find x

x = 16 - 11 x = 16 - 5

x = 5 x = 11

Conclusion

The numbers are 5 and 11