Question

The sum of two numbers is 11 and their product is 18. Find the numbers.

Answer 1

Answer: the numbers are 9 and 2

Step-by-step explanation:

Let the numbers be a and b

a + b = 11.........equation 1

ab = 18.......equation 2

Multiply equation 1 by a

a ^2 + ab = 11a.......equation 3

Substitute the value of ab from equation 2 into equation 3

a ^2 + 18 = 11a

a^2 - 11a + 18 = 0

(a-9) x (a-2) = 0

If a = 9, then b =2

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