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## Answers

'y' be the other number

x + y = 11 ---equation 1

xy = 30 ----equation 2

from equation 1

x + y = 11

x = 11 - y ---equation 3

substitute equation 3 to equation 2

xy = 30

(11 - y)(y) = 30

11y - y² = 30

y² - 11y + 30 = 0

(y - 5)(y-6) = 0

y = 5 , y = 6

taking both values as values of x and y

therefore the two numbers are 5 and 6