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X + Y = 23

XY = 132

Y = 23-x

xy = x (23-x) = 23x -x2= 132

x2-23x+132 = 0

(X-11)(x-12) = 0

X = 11

Y = 12

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The Burns have 2 children. The sum of their ages is 23 and the product is 132. How old are the children?

child 1 = a child 2 = b a + b = 23 a x b = 132 a = 23 - b (23 - b) x b = 132 -b^2 + 23b - 132 = 0 Now it has become a quadratic, you can use the quadratic rule, but i'll bore you no longer child b = 11 or 12 So The first born child would be 12 years old and the second born would be 11 years old


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