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Stephenalindogan99go
Answered

1. If the sum of two numbers is 15and the product of the two numbers is 50, find the numbers. Ans. 10 and 5​

Sagot :

AprililiPearlala24go

Let:

X = 1st number

Y = 2nd number

Equations :

  • X + Y = 15
  • (X)(Y) = 50

Solution :

(using the 1st equation)

X + Y = 15

X = 15 - Y

(substitute X into 2nd equation)

XY = 50

(15 - Y) (Y) = 50

15Y - Y² = 50

-Y² + 15Y - 50 = 0

Y² - 15Y + 50 = 0

(Y - 10)(Y - 5) = 0

Y - 10 = 0 Y - 5 = 0

Y = 10 Y = 5

The two numbers are 10 and 5.

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